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135263446160 = 2457173326219
BaseRepresentation
bin111110111111001010…
…1000110010010010000
3110221010202001000101012
41331332111012102100
54204004420234120
6142050021030052
712525645215303
oct1757625062220
9427122030335
10135263446160
1152401764137
122226b555328
13c9a84a310b
146792546b3a
1537b9ea81c5
hex1f7e546490

135263446160 has 80 divisors (see below), whose sum is σ = 323286629760. Its totient is φ = 52612439040.

The previous prime is 135263446133. The next prime is 135263446181. The reversal of 135263446160 is 61644362531.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251531 + ... + 577749.

It is an arithmetic number, because the mean of its divisors is an integer number (4041082872).

Almost surely, 2135263446160 is an apocalyptic number.

135263446160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135263446160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161643314880).

135263446160 is an abundant number, since it is smaller than the sum of its proper divisors (188023183600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135263446160 is a wasteful number, since it uses less digits than its factorization.

135263446160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326376 (or 326370 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 135263446160 in words is "one hundred thirty-five billion, two hundred sixty-three million, four hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 73 80 142 146 284 292 355 365 568 584 710 730 1136 1168 1420 1460 2840 2920 5183 5680 5840 10366 20732 25915 41464 51830 82928 103660 207320 326219 414640 652438 1304876 1631095 2609752 3262190 5219504 6524380 13048760 23161549 23813987 26097520 46323098 47627974 92646196 95255948 115807745 119069935 185292392 190511896 231615490 238139870 370584784 381023792 463230980 476279740 926461960 952559480 1690793077 1852923920 1905118960 3381586154 6763172308 8453965385 13526344616 16907930770 27052689232 33815861540 67631723080 135263446160