125576160 has 96 divisors (see below), whose sum is σ = 397135872. Its totient is φ = 33354240.

The previous prime is 125576147. The next prime is 125576179. The reversal of 125576160 is 61675521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206577 + ... + 207183.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2^125576160 is an apocalyptic number.

125576160 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 125576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936).

125576160 is an abundant number, since it is smaller than the sum of its proper divisors (271559712).

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

125576160 is a wasteful number, since it uses less digits than its factorization.

125576160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 125576160 is about 11206.0769228129. The cubic root of 125576160 is about 500.7670360430.

The spelling of 125576160 in words is "one hundred twenty-five million, five hundred seventy-six thousand, one hundred sixty".