152123400900 has 81 divisors (see below), whose sum is σ = 476859027463. Its totient is φ = 40563120000.

The previous prime is 152123400817. The next prime is 152123400901. The reversal of 152123400900 is 9004321251.

The square root of 152123400900 is 390030.

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

152123400900 is a `hidden beast` number, since 1 + 52 + 123 + 400 + 90 + 0 = 666.

152123400900 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 80654864004 + 71468536896 = 283998^2 + 267336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152123400901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11694400 + ... + 11707400.

Almost surely, 2^152123400900 is an apocalyptic number.

152123400900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152123400900 is the 390030-th square number.

It is an amenable number.

152123400900 is an abundant number, since it is smaller than the sum of its proper divisors (324735626563).

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

152123400900 is an equidigital number, since it uses as much as digits as its factorization.

152123400900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26022 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 152123400900 in words is "one hundred fifty-two billion, one hundred twenty-three million, four hundred thousand, nine hundred".