157609279152 has 240 divisors, whose sum is σ = 486571857408. Its totient is φ = 47325358080.

The previous prime is 157609279151. The next prime is 157609279171. The reversal of 157609279152 is 251972906751.

It is a happy number.

157609279152 is a `hidden beast` number, since 1 + 5 + 7 + 609 + 27 + 9 + 1 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (157609279151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18946098 + ... + 18954414.

Almost surely, 2^157609279152 is an apocalyptic number.

157609279152 is a gapful number since it is divisible by the number (12) 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 157609279152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243285928704).

157609279152 is an abundant number, since it is smaller than the sum of its proper divisors (328962578256).

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

157609279152 is a wasteful number, since it uses less digits than its factorization.

157609279152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 157609279152 in words is "one hundred fifty-seven billion, six hundred nine million, two hundred seventy-nine thousand, one hundred fifty-two".