150224400 has 90 divisors (see below), whose sum is σ = 521332890. Its totient is φ = 40058880.

The previous prime is 150224383. The next prime is 150224411. The reversal of 150224400 is 4422051.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 150111504 = 336^2 + 12252^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17265 + ... + 24464.

Almost surely, 2^150224400 is an apocalyptic number.

150224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150224400 is an abundant number, since it is smaller than the sum of its proper divisors (371108490).

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

150224400 is a wasteful number, since it uses less digits than its factorization.

150224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41753 (or 41739 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150224400 is about 12256.6063818661. The cubic root of 150224400 is about 531.5941087794.

Adding to 150224400 its reverse (4422051), we get a palindrome (154646451).

The spelling of 150224400 in words is "one hundred fifty million, two hundred twenty-four thousand, four hundred".