125451756 has 72 divisors (see below), whose sum is σ = 342895280. Its totient is φ = 38537856.

The previous prime is 125451751. The next prime is 125451773. The reversal of 125451756 is 657154521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125451756.

It is not an unprimeable number, because it can be changed into a prime (125451751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22830 + ... + 27786.

Almost surely, 2^125451756 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 125451756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171447640).

125451756 is an abundant number, since it is smaller than the sum of its proper divisors (217443524).

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

125451756 is a wasteful number, since it uses less digits than its factorization.

125451756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5018 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 125451756 is about 11200.5248091328. The cubic root of 125451756 is about 500.6016171566.

The spelling of 125451756 in words is "one hundred twenty-five million, four hundred fifty-one thousand, seven hundred fifty-six".