157653136 has 45 divisors (see below), whose sum is σ = 317064249. Its totient is φ = 75938688.

The previous prime is 157653113. The next prime is 157653143. The reversal of 157653136 is 631356751.

The square root of 157653136 is 12556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89491600 + 68161536 = 9460^2 + 8256^2 .

It is a super-2 number, since 2×157653136² = 49709022581268992, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157653095 and 157653104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2159596 + ... + 2159668.

Almost surely, 2^157653136 is an apocalyptic number.

157653136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157653136 is the 12556-th square number.

It is an amenable number.

157653136 is an abundant number, since it is smaller than the sum of its proper divisors (159411113).

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

157653136 is an frugal number, since it uses more digits than its factorization.

157653136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 118 counting only the distinct ones).

The product of its digits is 56700, while the sum is 37.

The cubic root of 157653136 is about 540.2161183406.

The spelling of 157653136 in words is "one hundred fifty-seven million, six hundred fifty-three thousand, one hundred thirty-six".