156750400 has 63 divisors (see below), whose sum is σ = 386940171. Its totient is φ = 62499840.

The previous prime is 156750379. The next prime is 156750413. The reversal of 156750400 is 4057651.

The square root of 156750400 is 12520.

It is a perfect power (a square), and thus also a powerful number.

156750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88059456 + 68690944 = 9384^2 + 8288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 500644 + ... + 500956.

Almost surely, 2^156750400 is an apocalyptic number.

156750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

156750400 is the 12520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156750400

156750400 is an abundant number, since it is smaller than the sum of its proper divisors (230189771).

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

156750400 is an frugal number, since it uses more digits than its factorization.

156750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The cubic root of 156750400 is about 539.1830353299.

The spelling of 156750400 in words is "one hundred fifty-six million, seven hundred fifty thousand, four hundred".