125439600 has 480 divisors, whose sum is σ = 511467264. Its totient is φ = 25804800.

The previous prime is 125439571. The next prime is 125439641. The reversal of 125439600 is 6934521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2917179 + ... + 2917221.

Almost surely, 2^125439600 is an apocalyptic number.

125439600 is a gapful number since it is divisible by the number (10) 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 125439600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255733632).

125439600 is an abundant number, since it is smaller than the sum of its proper divisors (386027664).

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

125439600 is a wasteful number, since it uses less digits than its factorization.

125439600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 125439600 is about 11199.9821428429. The cubic root of 125439600 is about 500.5854475681.

The spelling of 125439600 in words is "one hundred twenty-five million, four hundred thirty-nine thousand, six hundred".