125626564 has 48 divisors (see below), whose sum is σ = 259173376. Its totient is φ = 52164000.

The previous prime is 125626561. The next prime is 125626573. The reversal of 125626564 is 465626521.

It is not an unprimeable number, because it can be changed into a prime (125626561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181459 + ... + 182149.

Almost surely, 2^125626564 is an apocalyptic number.

125626564 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 125626564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129586688).

125626564 is an abundant number, since it is smaller than the sum of its proper divisors (133546812).

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

125626564 is a wasteful number, since it uses less digits than its factorization.

125626564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 125626564 is about 11208.3256555116. The cubic root of 125626564 is about 500.8340266921.

The spelling of 125626564 in words is "one hundred twenty-five million, six hundred twenty-six thousand, five hundred sixty-four".