125532253242400 has 36 divisors (see below), whose sum is σ = 306455613229962. Its totient is φ = 50212901296640.

The previous prime is 125532253242397. The next prime is 125532253242413. The reversal of 125532253242400 is 4242352235521.

It can be written as a sum of positive squares in 3 ways, for example, as 107274989028496 + 18257264213904 = 10357364^2 + 4272852^2 .

It is a super-2 number, since 2×125532253242400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78457657477 + ... + 78457659076.

Almost surely, 2^{125532253242400} is an apocalyptic number.

125532253242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125532253242400 is an abundant number, since it is smaller than the sum of its proper divisors (180923359987562).

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

125532253242400 is a wasteful number, since it uses less digits than its factorization.

125532253242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156915316573 (or 156915316560 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 125532253242400 in words is "one hundred twenty-five trillion, five hundred thirty-two billion, two hundred fifty-three million, two hundred forty-two thousand, four hundred".