156852128160 has 576 divisors, whose sum is σ = 687748320000. Its totient is φ = 33093494784.

The previous prime is 156852128131. The next prime is 156852128161. The reversal of 156852128160 is 61821258651.

156852128160 is a `hidden beast` number, since 1 + 5 + 68 + 521 + 2 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (156852128161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2723341 + ... + 2780339.

It is an arithmetic number, because the mean of its divisors is an integer number (1194007500).

Almost surely, 2^156852128160 is an apocalyptic number.

156852128160 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 156852128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874160000).

156852128160 is an abundant number, since it is smaller than the sum of its proper divisors (530896191840).

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

156852128160 is a wasteful number, since it uses less digits than its factorization.

156852128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57050 (or 57029 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 156852128160 in words is "one hundred fifty-six billion, eight hundred fifty-two million, one hundred twenty-eight thousand, one hundred sixty".