150921225 has 189 divisors, whose sum is σ = 353433573. Its totient is φ = 63685440.

The previous prime is 150921203. The next prime is 150921227. The reversal of 150921225 is 522129051.

The square root of 150921225 is 12285.

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 38900169 + 112021056 = 6237^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 150921225 - 2⁷ = 150921097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (150921227) 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 188 ways as a sum of consecutive naturals, for example, 11609319 + ... + 11609331.

Almost surely, 2^150921225 is an apocalyptic number.

150921225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

150921225 is the 12285-th square number.

150921225 is the 6143-rd centered octagonal number.

It is an amenable number.

150921225 is an abundant number, since it is smaller than the sum of its proper divisors (202512348).

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

150921225 is an equidigital number, since it uses as much as digits as its factorization.

150921225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The cubic root of 150921225 is about 532.4147850150.

The spelling of 150921225 in words is "one hundred fifty million, nine hundred twenty-one thousand, two hundred twenty-five".