125424288 has 240 divisors, whose sum is σ = 414935136. Its totient is φ = 36840960.

The previous prime is 125424281. The next prime is 125424319. The reversal of 125424288 is 882424521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125424281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1511095 + ... + 1511177.

Almost surely, 2^125424288 is an apocalyptic number.

125424288 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 125424288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207467568).

125424288 is an abundant number, since it is smaller than the sum of its proper divisors (289510848).

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

125424288 is a wasteful number, since it uses less digits than its factorization.

125424288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 125424288 is about 11199.2985494628. The cubic root of 125424288 is about 500.5650784654.

The spelling of 125424288 in words is "one hundred twenty-five million, four hundred twenty-four thousand, two hundred eighty-eight".