152979168400 has 30 divisors (see below), whose sum is σ = 367532453042. Its totient is φ = 61191667200.

The previous prime is 152979168383. The next prime is 152979168449. The reversal of 152979168400 is 4861979251.

It can be written as a sum of positive squares in 3 ways, for example, as 50138375056 + 102840793344 = 223916^2 + 320688^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 191223561 + ... + 191224360.

Almost surely, 2^152979168400 is an apocalyptic number.

152979168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152979168400 is an abundant number, since it is smaller than the sum of its proper divisors (214553284642).

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

152979168400 is a wasteful number, since it uses less digits than its factorization.

152979168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382447939 (or 382447928 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 152979168400 in words is "one hundred fifty-two billion, nine hundred seventy-nine million, one hundred sixty-eight thousand, four hundred".