156601441152 has 512 divisors, whose sum is σ = 517095936000. Its totient is φ = 46332518400.

The previous prime is 156601441127. The next prime is 156601441229. The reversal of 156601441152 is 251144106651.

156601441152 is a `hidden beast` number, since 1 + 5 + 6 + 60 + 1 + 441 + 152 = 666.

156601441152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×156601441152² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318943627 + ... + 318944117.

It is an arithmetic number, because the mean of its divisors is an integer number (1009953000).

Almost surely, 2^156601441152 is an apocalyptic number.

156601441152 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 156601441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258547968000).

156601441152 is an abundant number, since it is smaller than the sum of its proper divisors (360494494848).

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

156601441152 is a wasteful number, since it uses less digits than its factorization.

156601441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 156601441152 in words is "one hundred fifty-six billion, six hundred one million, four hundred forty-one thousand, one hundred fifty-two".