125368960 has 128 divisors (see below), whose sum is σ = 317260800. Its totient is φ = 47308800.

The previous prime is 125368933. The next prime is 125368961. The reversal of 125368960 is 69863521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×125368960² = 31434752262963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125368961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408596 + ... + 1408684.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^125368960 is an apocalyptic number.

125368960 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 125368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

125368960 is an abundant number, since it is smaller than the sum of its proper divisors (191891840).

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

125368960 is an equidigital number, since it uses as much as digits as its factorization.

125368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 125368960 is about 11196.8281222853. The cubic root of 125368960 is about 500.4914634358.

The spelling of 125368960 in words is "one hundred twenty-five million, three hundred sixty-eight thousand, nine hundred sixty".