125163360 has 192 divisors, whose sum is σ = 500774400. Its totient is φ = 28601856.

The previous prime is 125163349. The next prime is 125163377. The reversal of 125163360 is 63361521.

125163360 is a `hidden beast` number, since 1 + 25 + 1 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28171 + ... + 32309.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2^125163360 is an apocalyptic number.

125163360 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 125163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200).

125163360 is an abundant number, since it is smaller than the sum of its proper divisors (375611040).

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

125163360 is a wasteful number, since it uses less digits than its factorization.

125163360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 125163360 is about 11187.6431834413. The cubic root of 125163360 is about 500.2177185169.

It can be divided in two parts, 12516 and 3360, that added together give a square (15876 = 126²).

The spelling of 125163360 in words is "one hundred twenty-five million, one hundred sixty-three thousand, three hundred sixty".