125874592 has 48 divisors (see below), whose sum is σ = 260821512. Its totient is φ = 59719680.

The previous prime is 125874589. The next prime is 125874599. The reversal of 125874592 is 295478521.

It can be written as a sum of positive squares in 4 ways, for example, as 107246736 + 18627856 = 10356^2 + 4316^2 .

It is a super-2 number, since 2×125874592² = 31688825822332928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125874599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47248 + ... + 49840.

Almost surely, 2^125874592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125874592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130410756).

125874592 is an abundant number, since it is smaller than the sum of its proper divisors (134946920).

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

125874592 is a wasteful number, since it uses less digits than its factorization.

125874592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2673 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 125874592 is about 11219.3846533578. The cubic root of 125874592 is about 501.1634135051.

The spelling of 125874592 in words is "one hundred twenty-five million, eight hundred seventy-four thousand, five hundred ninety-two".