157251136 has 56 divisors (see below), whose sum is σ = 361005120. Its totient is φ = 66565632.

The previous prime is 157251121. The next prime is 157251169. The reversal of 157251136 is 631152751.

157251136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 157251098 and 157251107.

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, 35070 + ... + 39298.

It is an arithmetic number, because the mean of its divisors is an integer number (6446520).

Almost surely, 2^157251136 is an apocalyptic number.

157251136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180502560).

157251136 is an abundant number, since it is smaller than the sum of its proper divisors (203753984).

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

157251136 is an equidigital number, since it uses as much as digits as its factorization.

157251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4321 counting only the distinct ones).

The product of its digits is 6300, while the sum is 31.

The square root of 157251136 is about 12539.9814991889. The cubic root of 157251136 is about 539.7565615106.

It can be divided in two parts, 15725 and 1136, that added together give a palindrome (16861).

The spelling of 157251136 in words is "one hundred fifty-seven million, two hundred fifty-one thousand, one hundred thirty-six".