125526912 has 256 divisors, whose sum is σ = 419489280. Its totient is φ = 32440320.

The previous prime is 125526911. The next prime is 125526913. The reversal of 125526912 is 219625521.

It is an interprime number because it is at equal distance from previous prime (125526911) and next prime (125526913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125526911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873503 + ... + 1873569.

It is an arithmetic number, because the mean of its divisors is an integer number (1638630).

Almost surely, 2^125526912 is an apocalyptic number.

125526912 is a gapful number since it is divisible by the number (12) 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 125526912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640).

125526912 is an abundant number, since it is smaller than the sum of its proper divisors (293962368).

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

125526912 is a wasteful number, since it uses less digits than its factorization.

125526912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 125526912 is about 11203.8793281613. The cubic root of 125526912 is about 500.7015644875.

The spelling of 125526912 in words is "one hundred twenty-five million, five hundred twenty-six thousand, nine hundred twelve".