152788900 has 36 divisors (see below), whose sum is σ = 361695600. Its totient is φ = 55559200.

The previous prime is 152788891. The next prime is 152788943. The reversal of 152788900 is 9887251.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68350 + ... + 70549.

It is an arithmetic number, because the mean of its divisors is an integer number (10047100).

Almost surely, 2^152788900 is an apocalyptic number.

152788900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152788900 is an abundant number, since it is smaller than the sum of its proper divisors (208906700).

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

152788900 is a wasteful number, since it uses less digits than its factorization.

152788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138924 (or 138917 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 152788900 is about 12360.7807196795. The cubic root of 152788900 is about 534.6020273789.

The spelling of 152788900 in words is "one hundred fifty-two million, seven hundred eighty-eight thousand, nine hundred".