150553300 has 36 divisors (see below), whose sum is σ = 327283740. Its totient is φ = 60113920.

The previous prime is 150553261. The next prime is 150553301. The reversal of 150553300 is 3355051.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3755844 + 146797456 = 1938^2 + 12116^2 .

It is a super-2 number, since 2×150553300² = 45332592281780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150553301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78756 + ... + 80644.

It is an arithmetic number, because the mean of its divisors is an integer number (9091215).

Almost surely, 2^150553300 is an apocalyptic number.

150553300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150553300 is an abundant number, since it is smaller than the sum of its proper divisors (176730440).

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

150553300 is a wasteful number, since it uses less digits than its factorization.

150553300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 22.

The square root of 150553300 is about 12270.0162999077. The cubic root of 150553300 is about 531.9817818398.

The spelling of 150553300 in words is "one hundred fifty million, five hundred fifty-three thousand, three hundred".