150552900 has 81 divisors (see below), whose sum is σ = 473056311. Its totient is φ = 40049280.

The previous prime is 150552881. The next prime is 150552911. The reversal of 150552900 is 9255051.

The square root of 150552900 is 12270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 133263936 = 4158^2 + 11544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 367896 + ... + 368304.

Almost surely, 2^150552900 is an apocalyptic number.

150552900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150552900 is the 12270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150552900

150552900 is an abundant number, since it is smaller than the sum of its proper divisors (322503411).

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

150552900 is a wasteful number, since it uses less digits than its factorization.

150552900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The cubic root of 150552900 is about 531.9813107046.

It can be divided in two parts, 15055 and 2900, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 150552900 in words is "one hundred fifty million, five hundred fifty-two thousand, nine hundred".