125644320 has 72 divisors (see below), whose sum is σ = 428766156. Its totient is φ = 33504768.

The previous prime is 125644319. The next prime is 125644411. The reversal of 125644320 is 23446521.

125644320 is a `hidden beast` number, since 12 + 5 + 644 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 8225424 = 10836^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42187 + ... + 45066.

Almost surely, 2^125644320 is an apocalyptic number.

125644320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125644320 is an abundant number, since it is smaller than the sum of its proper divisors (303121836).

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

125644320 is a wasteful number, since it uses less digits than its factorization.

125644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87274 (or 87263 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 125644320 is about 11209.1177172871. The cubic root of 125644320 is about 500.8576214631.

The spelling of 125644320 in words is "one hundred twenty-five million, six hundred forty-four thousand, three hundred twenty".