125742456 has 160 divisors (see below), whose sum is σ = 423984000. Its totient is φ = 34012224.

The previous prime is 125742433. The next prime is 125742457. The reversal of 125742456 is 654247521.

It is a happy number.

125742456 is a `hidden beast` number, since 12 + 574 + 24 + 56 = 666.

It is a super-2 number, since 2×125742456² = 31622330481823872, which contains 22 as substring.

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 125742456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125742457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85455 + ... + 86913.

It is an arithmetic number, because the mean of its divisors is an integer number (2649900).

Almost surely, 2^125742456 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 125742456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211992000).

125742456 is an abundant number, since it is smaller than the sum of its proper divisors (298241544).

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

125742456 is a wasteful number, since it uses less digits than its factorization.

125742456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1490 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 125742456 is about 11213.4943706233. The cubic root of 125742456 is about 500.9879878077.

Adding to 125742456 its reverse (654247521), we get a palindrome (779989977).

The spelling of 125742456 in words is "one hundred twenty-five million, seven hundred forty-two thousand, four hundred fifty-six".