125988960 has 96 divisors (see below), whose sum is σ = 409715712. Its totient is φ = 32509440.

The previous prime is 125988949. The next prime is 125988977. The reversal of 125988960 is 69889521.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10647 + ... + 19113.

It is an arithmetic number, because the mean of its divisors is an integer number (4267872).

Almost surely, 2^125988960 is an apocalyptic number.

125988960 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 125988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204857856).

125988960 is an abundant number, since it is smaller than the sum of its proper divisors (283726752).

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

125988960 is a wasteful number, since it uses less digits than its factorization.

125988960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 125988960 is about 11224.4803888643. The cubic root of 125988960 is about 501.3151510558.

The spelling of 125988960 in words is "one hundred twenty-five million, nine hundred eighty-eight thousand, nine hundred sixty".