125863920 has 480 divisors, whose sum is σ = 555714432. Its totient is φ = 24772608.

The previous prime is 125863909. The next prime is 125863921. The reversal of 125863920 is 29368521.

125863920 is a `hidden beast` number, since 12 + 5 + 8 + 639 + 2 + 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 not an unprimeable number, because it can be changed into a prime (125863921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113784 + ... + 1113896.

Almost surely, 2^125863920 is an apocalyptic number.

125863920 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 125863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

125863920 is an abundant number, since it is smaller than the sum of its proper divisors (429850512).

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

125863920 is a wasteful number, since it uses less digits than its factorization.

125863920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

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

The square root of 125863920 is about 11218.9090378699. The cubic root of 125863920 is about 501.1492497594.

The spelling of 125863920 in words is "one hundred twenty-five million, eight hundred sixty-three thousand, nine hundred twenty".