125133288 has 64 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 35346432.

The previous prime is 125133251. The next prime is 125133299. The reversal of 125133288 is 882331521.

It is a super-4 number, since 4×125133288⁴ (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10768 + ... + 19136.

It is an arithmetic number, because the mean of its divisors is an integer number (5649750).

Almost surely, 2^125133288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125133288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

125133288 is an abundant number, since it is smaller than the sum of its proper divisors (236450712).

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

125133288 is a wasteful number, since it uses less digits than its factorization.

125133288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8470 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 125133288 is about 11186.2991199056. The cubic root of 125133288 is about 500.1776542038.

The spelling of 125133288 in words is "one hundred twenty-five million, one hundred thirty-three thousand, two hundred eighty-eight".