150088900 has 108 divisors (see below), whose sum is σ = 360258192. Its totient is φ = 54238080.

The previous prime is 150088879. The next prime is 150088931. The reversal of 150088900 is 9880051.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1402647 + ... + 1402753.

It is an arithmetic number, because the mean of its divisors is an integer number (3335724).

Almost surely, 2^150088900 is an apocalyptic number.

150088900 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 150088900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180129096).

150088900 is an abundant number, since it is smaller than the sum of its proper divisors (210169292).

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

150088900 is a wasteful number, since it uses less digits than its factorization.

150088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 150088900 is about 12251.0775036321. The cubic root of 150088900 is about 531.4342309133.

The spelling of 150088900 in words is "one hundred fifty million, eighty-eight thousand, nine hundred".