157129113600 has 660 divisors, whose sum is σ = 597847561014. Its totient is φ = 40768634880.

The previous prime is 157129113599. The next prime is 157129113601. The reversal of 157129113600 is 6311921751.

It is a happy number.

157129113600 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 291 + 1 + 360 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157129113599) and next prime (157129113601).

It can be written as a sum of positive squares in 3 ways, for example, as 142775156736 + 14353956864 = 377856^2 + 119808^2 .

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (157129113601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4246732782 + ... + 4246732818.

Almost surely, 2^157129113600 is an apocalyptic number.

157129113600 is a gapful number since it is divisible by the number (10) 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 157129113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298923780507).

157129113600 is an abundant number, since it is smaller than the sum of its proper divisors (440718447414).

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

157129113600 is an frugal number, since it uses more digits than its factorization.

157129113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 157129113600 in words is "one hundred fifty-seven billion, one hundred twenty-nine million, one hundred thirteen thousand, six hundred".