125753160 has 64 divisors (see below), whose sum is σ = 406284480. Its totient is φ = 30954240.

The previous prime is 125753149. The next prime is 125753179. The reversal of 125753160 is 61357521.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38746 + ... + 41865.

It is an arithmetic number, because the mean of its divisors is an integer number (6348195).

Almost surely, 2^125753160 is an apocalyptic number.

125753160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125753160 is an abundant number, since it is smaller than the sum of its proper divisors (280531320).

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

125753160 is a wasteful number, since it uses less digits than its factorization.

125753160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80638 (or 80634 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 125753160 is about 11213.9716425538. The cubic root of 125753160 is about 501.0022031688.

The spelling of 125753160 in words is "one hundred twenty-five million, seven hundred fifty-three thousand, one hundred sixty".