152888900 has 72 divisors (see below), whose sum is σ = 345811200. Its totient is φ = 58608000.

The previous prime is 152888891. The next prime is 152888903. The reversal of 152888900 is 9888251.

152888900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×152888900³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152888903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461735 + ... + 462065.

Almost surely, 2^152888900 is an apocalyptic number.

152888900 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 152888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172905600).

152888900 is an abundant number, since it is smaller than the sum of its proper divisors (192922300).

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

152888900 is a wasteful number, since it uses less digits than its factorization.

152888900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 41.

The square root of 152888900 is about 12364.8251099642. The cubic root of 152888900 is about 534.7186338946.

The spelling of 152888900 in words is "one hundred fifty-two million, eight hundred eighty-eight thousand, nine hundred".