125762242400 has 72 divisors (see below), whose sum is σ = 307276754904. Its totient is φ = 50262348800.

The previous prime is 125762242393. The next prime is 125762242477. The reversal of 125762242400 is 4242267521.

It is a super-2 number, since 2×125762242400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888515 + ... + 1020285.

It is an arithmetic number, because the mean of its divisors is an integer number (4267732707).

Almost surely, 2^125762242400 is an apocalyptic number.

125762242400 is a gapful number since it is divisible by the number (10) 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 125762242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153638377452).

125762242400 is an abundant number, since it is smaller than the sum of its proper divisors (181514512504).

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

125762242400 is a wasteful number, since it uses less digits than its factorization.

125762242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132984 (or 132971 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 125762242400 in words is "one hundred twenty-five billion, seven hundred sixty-two million, two hundred forty-two thousand, four hundred".