125084960 has 288 divisors, whose sum is σ = 405409536. Its totient is φ = 35481600.

The previous prime is 125084959. The next prime is 125085007. The reversal of 125084960 is 69480521.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 125084960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761725 + ... + 1761795.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2^125084960 is an apocalyptic number.

125084960 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 125084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202704768).

125084960 is an abundant number, since it is smaller than the sum of its proper divisors (280324576).

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

125084960 is a wasteful number, since it uses less digits than its factorization.

125084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 125084960 is about 11184.1387688101. The cubic root of 125084960 is about 500.1132543450.

The spelling of 125084960 in words is "one hundred twenty-five million, eighty-four thousand, nine hundred sixty".