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157134474 = 2327331821
BaseRepresentation
bin10010101110110…
…10111010001010
3101221200020222100
421113122322022
5310211300344
623331534230
73615423000
oct1127327212
9357606870
10157134474
1180775502
124475a376
13267293a3
1416c24a70
15dbdd569
hex95dae8a

157134474 has 96 divisors (see below), whose sum is σ = 410342400. Its totient is φ = 43394400.

The previous prime is 157134473. The next prime is 157134511. The reversal of 157134474 is 474431751.

157134474 is a `hidden beast` number, since 1 + 57 + 134 + 474 = 666.

It is not an unprimeable number, because it can be changed into a prime (157134473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190984 + ... + 191804.

It is an arithmetic number, because the mean of its divisors is an integer number (4274400).

Almost surely, 2157134474 is an apocalyptic number.

157134474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157134474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205171200).

157134474 is an abundant number, since it is smaller than the sum of its proper divisors (253207926).

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

157134474 is a wasteful number, since it uses less digits than its factorization.

157134474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 864 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 157134474 is about 12535.3290343732. The cubic root of 157134474 is about 539.6230496859.

The spelling of 157134474 in words is "one hundred fifty-seven million, one hundred thirty-four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 343 434 441 558 651 686 821 882 1029 1302 1519 1642 1953 2058 2463 3038 3087 3906 4557 4926 5747 6174 7389 9114 10633 11494 13671 14778 17241 21266 25451 27342 31899 34482 40229 50902 51723 63798 76353 80458 95697 103446 120687 152706 178157 191394 229059 241374 281603 356314 362061 458118 534471 563206 724122 844809 1068942 1247099 1603413 1689618 2494198 2534427 3206826 3741297 5068854 7482594 8729693 11223891 17459386 22447782 26189079 52378158 78567237 157134474