125125344 has 96 divisors (see below), whose sum is σ = 368958240. Its totient is φ = 41250816.

The previous prime is 125125291. The next prime is 125125349. The reversal of 125125344 is 443521521.

125125344 is a `hidden beast` number, since 125 + 1 + 2 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×125125344² = 31312703422236672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125125349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83062 + ... + 84554.

It is an arithmetic number, because the mean of its divisors is an integer number (3843315).

Almost surely, 2^125125344 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 125125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184479120).

125125344 is an abundant number, since it is smaller than the sum of its proper divisors (243832896).

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

125125344 is a wasteful number, since it uses less digits than its factorization.

125125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1595 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 125125344 is about 11185.9440370494. The cubic root of 125125344 is about 500.1670695027.

Adding to 125125344 its reverse (443521521), we get a palindrome (568646865).

The spelling of 125125344 in words is "one hundred twenty-five million, one hundred twenty-five thousand, three hundred forty-four".