125918208 has 132 divisors (see below), whose sum is σ = 391926808. Its totient is φ = 38707200.

The previous prime is 125918197. The next prime is 125918227. The reversal of 125918208 is 802819521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119283 + ... + 120333.

Almost surely, 2^125918208 is an apocalyptic number.

125918208 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 125918208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195963404).

125918208 is an abundant number, since it is smaller than the sum of its proper divisors (266008600).

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

125918208 is a wasteful number, since it uses less digits than its factorization.

125918208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 125918208 is about 11221.3282636237. The cubic root of 125918208 is about 501.2212917972.

The spelling of 125918208 in words is "one hundred twenty-five million, nine hundred eighteen thousand, two hundred eight".