125716496 has 40 divisors (see below), whose sum is σ = 264217464. Its totient is φ = 57712640.

The previous prime is 125716489. The next prime is 125716511. The reversal of 125716496 is 694617521.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 123654400 = 1436^2 + 11120^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5516 + ... + 16788.

Almost surely, 2^125716496 is an apocalyptic number.

125716496 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 125716496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132108732).

125716496 is an abundant number, since it is smaller than the sum of its proper divisors (138500968).

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

125716496 is a wasteful number, since it uses less digits than its factorization.

125716496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11339 (or 11333 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 125716496 is about 11212.3367769613. The cubic root of 125716496 is about 500.9535084873.

The spelling of 125716496 in words is "one hundred twenty-five million, seven hundred sixteen thousand, four hundred ninety-six".