125238960 has 400 divisors, whose sum is σ = 544465152. Its totient is φ = 25920000.

The previous prime is 125238901. The next prime is 125239001. The reversal of 125238960 is 69832521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498835 + ... + 499085.

Almost surely, 2^125238960 is an apocalyptic number.

125238960 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 125238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576).

125238960 is an abundant number, since it is smaller than the sum of its proper divisors (419226192).

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

125238960 is a wasteful number, since it uses less digits than its factorization.

125238960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 125238960 is about 11191.0214011054. The cubic root of 125238960 is about 500.3184105198.

The spelling of 125238960 in words is "one hundred twenty-five million, two hundred thirty-eight thousand, nine hundred sixty".