125152640 has 64 divisors (see below), whose sum is σ = 316820160. Its totient is φ = 47112192.

The previous prime is 125152633. The next prime is 125152711. The reversal of 125152640 is 46251521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5129 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (4950315).

Almost surely, 2^125152640 is an apocalyptic number.

125152640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158410080).

125152640 is an abundant number, since it is smaller than the sum of its proper divisors (191667520).

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

125152640 is a wasteful number, since it uses less digits than its factorization.

125152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11539 (or 11527 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 125152640 is about 11187.1640731689. The cubic root of 125152640 is about 500.2034372154.

The spelling of 125152640 in words is "one hundred twenty-five million, one hundred fifty-two thousand, six hundred forty".