125683488 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 35894016.

The previous prime is 125683483. The next prime is 125683489. The reversal of 125683488 is 884386521.

125683488 is a `hidden beast` number, since 1 + 2 + 568 + 3 + 4 + 88 = 666.

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

It is a super-2 number, since 2×125683488² = 31592678311692288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125683483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53278 + ... + 55586.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^125683488 is an apocalyptic number.

125683488 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 125683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

125683488 is an abundant number, since it is smaller than the sum of its proper divisors (298099872).

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

125683488 is an equidigital number, since it uses as much as digits as its factorization.

125683488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2321 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 125683488 is about 11210.8647302516. The cubic root of 125683488 is about 500.9096613621.

The spelling of 125683488 in words is "one hundred twenty-five million, six hundred eighty-three thousand, four hundred eighty-eight".