125691216 has 80 divisors (see below), whose sum is σ = 375642624. Its totient is φ = 35471232.

The previous prime is 125691197. The next prime is 125691221. The reversal of 125691216 is 612196521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25635 + ... + 30141.

Almost surely, 2^125691216 is an apocalyptic number.

125691216 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 125691216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187821312).

125691216 is an abundant number, since it is smaller than the sum of its proper divisors (249951408).

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

125691216 is a wasteful number, since it uses less digits than its factorization.

125691216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4602 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 125691216 is about 11211.2093906055. The cubic root of 125691216 is about 500.9199277612.

The spelling of 125691216 in words is "one hundred twenty-five million, six hundred ninety-one thousand, two hundred sixteen".