125385408 has 210 divisors, whose sum is σ = 398128236. Its totient is φ = 39004416.

The previous prime is 125385371. The next prime is 125385419. The reversal of 125385408 is 804583521.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1871391 + ... + 1871457.

Almost surely, 2^125385408 is an apocalyptic number.

125385408 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 125385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199064118).

125385408 is an abundant number, since it is smaller than the sum of its proper divisors (272742828).

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

125385408 is an equidigital number, since it uses as much as digits as its factorization.

125385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 125385408 is about 11197.5625919215. The cubic root of 125385408 is about 500.5133500963.

The spelling of 125385408 in words is "one hundred twenty-five million, three hundred eighty-five thousand, four hundred eight".