125733888 has 132 divisors (see below), whose sum is σ = 415131600. Its totient is φ = 35905536.

The previous prime is 125733877. The next prime is 125733889. The reversal of 125733888 is 888337521.

It is not an unprimeable number, because it can be changed into a prime (125733889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63538 + ... + 65486.

Almost surely, 2^125733888 is an apocalyptic number.

125733888 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 125733888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207565800).

125733888 is an abundant number, since it is smaller than the sum of its proper divisors (289397712).

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

125733888 is a wasteful number, since it uses less digits than its factorization.

125733888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1961 counting only the distinct ones).

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

The square root of 125733888 is about 11213.1123244173. The cubic root of 125733888 is about 500.9766085628.

It can be divided in two parts, 125733 and 888, that added together give a palindrome (126621).

The spelling of 125733888 in words is "one hundred twenty-five million, seven hundred thirty-three thousand, eight hundred eighty-eight".