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133146096 = 24322912113
BaseRepresentation
bin1111110111110…
…10010111110000
3100021112112002220
413323322113300
5233041133341
621113441040
73204503016
oct773722760
9307475086
10133146096
11691806a6
1238710180
132177a795
141397c8b6
15ba50a66
hex7efa5f0

133146096 has 40 divisors (see below), whose sum is σ = 345491280. Its totient is φ = 44184576.

The previous prime is 133146089. The next prime is 133146109. The reversal of 133146096 is 690641331.

133146096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4936 + ... + 17048.

It is an arithmetic number, because the mean of its divisors is an integer number (8637282).

Almost surely, 2133146096 is an apocalyptic number.

133146096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133146096 is an abundant number, since it is smaller than the sum of its proper divisors (212345184).

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

133146096 is a wasteful number, since it uses less digits than its factorization.

133146096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12353 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 133146096 is about 11538.8949210919. The cubic root of 133146096 is about 510.6337066792.

The spelling of 133146096 in words is "one hundred thirty-three million, one hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 5496 10992 12113 24226 36339 48452 72678 96904 145356 193808 290712 581424 2773877 5547754 8321631 11095508 16643262 22191016 33286524 44382032 66573048 133146096