125915328 has 336 divisors, whose sum is σ = 479291904. Its totient is φ = 30597120.

The previous prime is 125915287. The next prime is 125915341. The reversal of 125915328 is 823519521.

125915328 is a `hidden beast` number, since 12 + 591 + 53 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 125915292 and 125915301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753901 + ... + 754067.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^125915328 is an apocalyptic number.

125915328 is a gapful number since it is divisible by the number (18) 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 125915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

125915328 is an abundant number, since it is smaller than the sum of its proper divisors (353376576).

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

125915328 is a wasteful number, since it uses less digits than its factorization.

125915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 125915328 is about 11221.1999358357. The cubic root of 125915328 is about 501.2174704586.

The spelling of 125915328 in words is "one hundred twenty-five million, nine hundred fifteen thousand, three hundred twenty-eight".