156456144 has 120 divisors (see below), whose sum is σ = 486516480. Its totient is φ = 48117888.

The previous prime is 156456133. The next prime is 156456173. The reversal of 156456144 is 441654651.

156456144 is a `hidden beast` number, since 1 + 5 + 645 + 6 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 156456099 and 156456108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71937 + ... + 74079.

It is an arithmetic number, because the mean of its divisors is an integer number (4054304).

Almost surely, 2^156456144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156456144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243258240).

156456144 is an abundant number, since it is smaller than the sum of its proper divisors (330060336).

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

156456144 is a wasteful number, since it uses less digits than its factorization.

156456144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2161 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 156456144 is about 12508.2430420903. The cubic root of 156456144 is about 538.8454344353.

The spelling of 156456144 in words is "one hundred fifty-six million, four hundred fifty-six thousand, one hundred forty-four".