156456400 has 60 divisors (see below), whose sum is σ = 378138124. Its totient is φ = 62208000.

The previous prime is 156456397. The next prime is 156456413. The reversal of 156456400 is 4654651.

It can be written as a sum of positive squares in 6 ways, for example, as 25765776 + 130690624 = 5076^2 + 11432^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71320 + ... + 73480.

Almost surely, 2^156456400 is an apocalyptic number.

156456400 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 156456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189069062).

156456400 is an abundant number, since it is smaller than the sum of its proper divisors (221681724).

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

156456400 is a wasteful number, since it uses less digits than its factorization.

156456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 156456400 is about 12508.2532753378. The cubic root of 156456400 is about 538.8457283289.

The spelling of 156456400 in words is "one hundred fifty-six million, four hundred fifty-six thousand, four hundred".