157102301952 has 540 divisors, whose sum is σ = 511105928256. Its totient is φ = 47939973120.

The previous prime is 157102301929. The next prime is 157102301999. The reversal of 157102301952 is 259103201751.

157102301952 is a `hidden beast` number, since 1 + 571 + 0 + 2 + 30 + 1 + 9 + 52 = 666.

It is a super-2 number, since 2×157102301952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232056238 + ... + 232056914.

Almost surely, 2^157102301952 is an apocalyptic number.

157102301952 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 157102301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255552964128).

157102301952 is an abundant number, since it is smaller than the sum of its proper divisors (354003626304).

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

157102301952 is an equidigital number, since it uses as much as digits as its factorization.

157102301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 157102301952 in words is "one hundred fifty-seven billion, one hundred two million, three hundred one thousand, nine hundred fifty-two".