125525344 has 48 divisors (see below), whose sum is σ = 288465408. Its totient is φ = 52647552.

The previous prime is 125525341. The next prime is 125525347. The reversal of 125525344 is 443525521.

It is an interprime number because it is at equal distance from previous prime (125525341) and next prime (125525347).

It is a super-2 number, since 2×125525344² = 31513223972636672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125525341) 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, 4567 + ... + 16489.

It is an arithmetic number, because the mean of its divisors is an integer number (6009696).

Almost surely, 2^125525344 is an apocalyptic number.

125525344 is a gapful number since it is divisible by the number (14) 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 125525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144232704).

125525344 is an abundant number, since it is smaller than the sum of its proper divisors (162940064).

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

125525344 is a wasteful number, since it uses less digits than its factorization.

125525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11987 (or 11979 counting only the distinct ones).

The product of its digits is 24000, while the sum is 31.

The square root of 125525344 is about 11203.8093521802. The cubic root of 125525344 is about 500.6994796667.

The spelling of 125525344 in words is "one hundred twenty-five million, five hundred twenty-five thousand, three hundred forty-four".