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135078197346 = 23423291250099
BaseRepresentation
bin111110111001101001…
…0011011100001100010
3110220122211110101210000
41331303102123201202
54203120004303341
6142015402320430
712521235506301
oct1756322334142
9426584411700
10135078197346
1152317136a44
12222194b9116
13c978cb2131
146775ac4438
1537a8ab48b6
hex1f7349b862

135078197346 has 80 divisors (see below), whose sum is σ = 326726136000. Its totient is φ = 41583259872.

The previous prime is 135078197281. The next prime is 135078197357. The reversal of 135078197346 is 643791870531.

135078197346 is a `hidden beast` number, since 1 + 3 + 507 + 8 + 1 + 97 + 3 + 46 = 666.

It is a super-2 number, since 2×1350781973462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135078197292 and 135078197301.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 516996 + ... + 733103.

It is an arithmetic number, because the mean of its divisors is an integer number (4084076700).

Almost surely, 2135078197346 is an apocalyptic number.

135078197346 is an abundant number, since it is smaller than the sum of its proper divisors (191647938654).

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

135078197346 is a wasteful number, since it uses less digits than its factorization.

135078197346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250165 (or 1250156 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 135078197346 in words is "one hundred thirty-five billion, seventy-eight million, one hundred ninety-seven thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 162 174 207 261 414 522 621 667 783 1242 1334 1566 1863 2001 2349 3726 4002 4698 6003 12006 18009 36018 54027 108054 1250099 2500198 3750297 7500594 11250891 22501782 28752277 33752673 36252871 57504554 67505346 72505742 86256831 101258019 108758613 172513662 202516038 217517226 258770493 326275839 517540986 652551678 776311479 833816033 978827517 1552622958 1667632066 1957655034 2328934437 2501448099 2936482551 4657868874 5002896198 5872965102 7504344297 15008688594 22513032891 45026065782 67539098673 135078197346