125643960 has 320 divisors, whose sum is σ = 481773600. Its totient is φ = 29113344.

The previous prime is 125643949. The next prime is 125643977. The reversal of 125643960 is 69346521.

It is a happy number.

125643960 is a `hidden beast` number, since 1 + 2 + 5 + 643 + 9 + 6 + 0 = 666.

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, 800202 + ... + 800358.

Almost surely, 2^125643960 is an apocalyptic number.

125643960 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 125643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240886800).

125643960 is an abundant number, since it is smaller than the sum of its proper divisors (356129640).

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

125643960 is a wasteful number, since it uses less digits than its factorization.

125643960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 125643960 is about 11209.1016589199. The cubic root of 125643960 is about 500.8571431051.

The spelling of 125643960 in words is "one hundred twenty-five million, six hundred forty-three thousand, nine hundred sixty".