157007136 has 96 divisors (see below), whose sum is σ = 484239168. Its totient is φ = 43914240.

The previous prime is 157007129. The next prime is 157007141. The reversal of 157007136 is 631700751.

157007136 is digitally balanced in base 2 and base 3, because in such bases 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 (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8010 + ... + 19446.

It is an arithmetic number, because the mean of its divisors is an integer number (5044158).

Almost surely, 2^157007136 is an apocalyptic number.

157007136 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 157007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242119584).

157007136 is an abundant number, since it is smaller than the sum of its proper divisors (327232032).

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

157007136 is a wasteful number, since it uses less digits than its factorization.

157007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 157007136 is about 12530.2488403064. The cubic root of 157007136 is about 539.4772444444.

Adding to 157007136 its reverse (631700751), we get a palindrome (788707887).

The spelling of 157007136 in words is "one hundred fifty-seven million, seven thousand, one hundred thirty-six".