150790900 has 72 divisors (see below), whose sum is σ = 354801944. Its totient is φ = 55296000.

The previous prime is 150790891. The next prime is 150790931. The reversal of 150790900 is 9097051.

It can be written as a sum of positive squares in 12 ways, for example, as 59320804 + 91470096 = 7702^2 + 9564^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250600 + ... + 251200.

Almost surely, 2^150790900 is an apocalyptic number.

150790900 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 150790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177400972).

150790900 is an abundant number, since it is smaller than the sum of its proper divisors (204011044).

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

150790900 is a wasteful number, since it uses less digits than its factorization.

150790900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 150790900 is about 12279.6946216101. The cubic root of 150790900 is about 532.2614888412.

The spelling of 150790900 in words is "one hundred fifty million, seven hundred ninety thousand, nine hundred".