151142112900 has 81 divisors (see below), whose sum is σ = 473783116261. Its totient is φ = 40301453280.

The previous prime is 151142112883. The next prime is 151142112923. The reversal of 151142112900 is 9211241151.

The square root of 151142112900 is 388770.

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

151142112900 is a `hidden beast` number, since 1 + 511 + 4 + 21 + 129 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54411160644 + 96730952256 = 233262^2 + 311016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11656621 + ... + 11669579.

Almost surely, 2^151142112900 is an apocalyptic number.

151142112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151142112900 is the 388770-th square number.

It is an amenable number.

151142112900 is an abundant number, since it is smaller than the sum of its proper divisors (322641003361).

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

151142112900 is an equidigital number, since it uses as much as digits as its factorization.

151142112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25938 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 151142112900 in words is "one hundred fifty-one billion, one hundred forty-two million, one hundred twelve thousand, nine hundred".