156642400 has 72 divisors (see below), whose sum is σ = 386319024. Its totient is φ = 62016000.

The previous prime is 156642379. The next prime is 156642419. The reversal of 156642400 is 4246651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81450 + ... + 83350.

It is an arithmetic number, because the mean of its divisors is an integer number (5365542).

Almost surely, 2^156642400 is an apocalyptic number.

156642400 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 156642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193159512).

156642400 is an abundant number, since it is smaller than the sum of its proper divisors (229676624).

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

156642400 is a wasteful number, since it uses less digits than its factorization.

156642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 156642400 is about 12515.6861577782. The cubic root of 156642400 is about 539.0591756849.

The spelling of 156642400 in words is "one hundred fifty-six million, six hundred forty-two thousand, four hundred".