125360736 has 96 divisors (see below), whose sum is σ = 349907040. Its totient is φ = 39223296.

The previous prime is 125360723. The next prime is 125360743. The reversal of 125360736 is 637063521.

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

It is a junction number, because it is equal to n+sod(n) for n = 125360697 and 125360706.

It is a congruent number.

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, 102400 + ... + 103616.

It is an arithmetic number, because the mean of its divisors is an integer number (3644865).

Almost surely, 2^125360736 is an apocalyptic number.

125360736 is a gapful number since it is divisible by the number (16) 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 125360736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174953520).

125360736 is an abundant number, since it is smaller than the sum of its proper divisors (224546304).

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

125360736 is a wasteful number, since it uses less digits than its factorization.

125360736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 125360736 is about 11196.4608693998. The cubic root of 125360736 is about 500.4805193876.

The spelling of 125360736 in words is "one hundred twenty-five million, three hundred sixty thousand, seven hundred thirty-six".