125921544 has 64 divisors (see below), whose sum is σ = 368163840. Its totient is φ = 35138880.

The previous prime is 125921503. The next prime is 125921599. The reversal of 125921544 is 445129521.

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, 1492 + ... + 15939.

It is an arithmetic number, because the mean of its divisors is an integer number (5752560).

Almost surely, 2^125921544 is an apocalyptic number.

125921544 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 125921544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184081920).

125921544 is an abundant number, since it is smaller than the sum of its proper divisors (242242296).

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

125921544 is a wasteful number, since it uses less digits than its factorization.

125921544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17490 (or 17486 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 125921544 is about 11221.4769081436. The cubic root of 125921544 is about 501.2257181082.

The spelling of 125921544 in words is "one hundred twenty-five million, nine hundred twenty-one thousand, five hundred forty-four".