125352864 has 144 divisors (see below), whose sum is σ = 438826752. Its totient is φ = 33053184.

The previous prime is 125352847. The next prime is 125352881. The reversal of 125352864 is 468253521.

125352864 is a `hidden beast` number, since 125 + 3 + 528 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (125352847) and next prime (125352881).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23817 + ... + 28599.

It is an arithmetic number, because the mean of its divisors is an integer number (3047408).

Almost surely, 2^125352864 is an apocalyptic number.

125352864 is a gapful number since it is divisible by the number (14) 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 125352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219413376).

125352864 is an abundant number, since it is smaller than the sum of its proper divisors (313473888).

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

125352864 is a wasteful number, since it uses less digits than its factorization.

125352864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4808 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 125352864 is about 11196.1093242251. The cubic root of 125352864 is about 500.4700433134.

The spelling of 125352864 in words is "one hundred twenty-five million, three hundred fifty-two thousand, eight hundred sixty-four".