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157271136 = 25311148931
BaseRepresentation
bin10010101111111…
…00010001100000
3101221221012102220
421113330101200
5310230134021
623334511040
73616532301
oct1127742140
9357835386
10157271136
1180859150
1244805480
1326776659
1416c5c7a8
15dc18cc6
hex95fc460

157271136 has 48 divisors (see below), whose sum is σ = 450370368. Its totient is φ = 47657600.

The previous prime is 157271129. The next prime is 157271141. The reversal of 157271136 is 631172751.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 157271097 and 157271106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73410 + ... + 75521.

It is an arithmetic number, because the mean of its divisors is an integer number (9382716).

Almost surely, 2157271136 is an apocalyptic number.

157271136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157271136 is an abundant number, since it is smaller than the sum of its proper divisors (293099232).

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

157271136 is a wasteful number, since it uses less digits than its factorization.

157271136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148955 (or 148947 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 157271136 is about 12540.7789231770. The cubic root of 157271136 is about 539.7794435363.

The spelling of 157271136 in words is "one hundred fifty-seven million, two hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 148931 297862 446793 595724 893586 1191448 1638241 1787172 2382896 3276482 3574344 4765792 4914723 6552964 7148688 9829446 13105928 14297376 19658892 26211856 39317784 52423712 78635568 157271136