156169728 has 320 divisors, whose sum is σ = 549964800. Its totient is φ = 43130880.

The previous prime is 156169691. The next prime is 156169753. The reversal of 156169728 is 827961651.

156169728 = 139³ + 140³ + ... + 177³.

156169728 is a `hidden beast` number, since 1 + 5 + 616 + 9 + 7 + 28 = 666.

156169728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (181440) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976793 + ... + 1976871.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^156169728 is an apocalyptic number.

156169728 is a gapful number since it is divisible by the number (18) 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 156169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

156169728 is an abundant number, since it is smaller than the sum of its proper divisors (393795072).

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

156169728 is a wasteful number, since it uses less digits than its factorization.

156169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 156169728 is about 12496.7887075040. The cubic root of 156169728 is about 538.5164216251.

It can be divided in two parts, 1561 and 69728, that added together give a square (71289 = 267²).

The spelling of 156169728 in words is "one hundred fifty-six million, one hundred sixty-nine thousand, seven hundred twenty-eight".