157609256512 has 112 divisors (see below), whose sum is σ = 335437124400. Its totient is φ = 73213673472.

The previous prime is 157609256509. The next prime is 157609256557. The reversal of 157609256512 is 215652906751.

It can be written as a sum of positive squares in 8 ways, for example, as 30605403136 + 127003853376 = 174944^2 + 356376^2 .

It is a super-2 number, since 2×157609256512² (a number of 23 digits) contains 22 as substring.

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, 45695364 + ... + 45698812.

It is an arithmetic number, because the mean of its divisors is an integer number (2994974325).

Almost surely, 2^157609256512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157609256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167718562200).

157609256512 is an abundant number, since it is smaller than the sum of its proper divisors (177827867888).

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

157609256512 is a wasteful number, since it uses less digits than its factorization.

157609256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 157609256512 in words is "one hundred fifty-seven billion, six hundred nine million, two hundred fifty-six thousand, five hundred twelve".