125672688 has 160 divisors (see below), whose sum is σ = 387475200. Its totient is φ = 38880000.

The previous prime is 125672671. The next prime is 125672719. The reversal of 125672688 is 886276521.

125672688 is a `hidden beast` number, since 1 + 2 + 567 + 2 + 6 + 88 = 666.

Its product of digits (322560) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500563 + ... + 500813.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2^125672688 is an apocalyptic number.

125672688 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 125672688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

125672688 is an abundant number, since it is smaller than the sum of its proper divisors (261802512).

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

125672688 is a wasteful number, since it uses less digits than its factorization.

125672688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 125672688 is about 11210.3830443032. The cubic root of 125672688 is about 500.8953132050.

The spelling of 125672688 in words is "one hundred twenty-five million, six hundred seventy-two thousand, six hundred eighty-eight".