125950016 has 56 divisors (see below), whose sum is σ = 262128000. Its totient is φ = 59963904.

The previous prime is 125950009. The next prime is 125950037. The reversal of 125950016 is 610059521.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146195 + ... + 147053.

Almost surely, 2^125950016 is an apocalyptic number.

125950016 is a gapful number since it is divisible by the number (16) 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 125950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064000).

125950016 is an abundant number, since it is smaller than the sum of its proper divisors (136177984).

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

125950016 is an equidigital number, since it uses as much as digits as its factorization.

125950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 125950016 is about 11222.7454751500. The cubic root of 125950016 is about 501.2634924841.

The spelling of 125950016 in words is "one hundred twenty-five million, nine hundred fifty thousand, sixteen".