125580114900 has 54 divisors (see below), whose sum is σ = 393623896302. Its totient is φ = 33488030400.

The previous prime is 125580114899. The next prime is 125580114901. The reversal of 125580114900 is 9411085521.

125580114900 is a `hidden beast` number, since 1 + 2 + 558 + 0 + 1 + 14 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125580114899) and next prime (125580114901).

It can be written as a sum of positive squares in 3 ways, for example, as 4263045264 + 121317069636 = 65292^2 + 348306^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125580114901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69765831 + ... + 69767630.

It is an arithmetic number, because the mean of its divisors is an integer number (7289331413).

Almost surely, 2^125580114900 is an apocalyptic number.

125580114900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125580114900 is an abundant number, since it is smaller than the sum of its proper divisors (268043781402).

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

125580114900 is a wasteful number, since it uses less digits than its factorization.

125580114900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139533481 (or 139533471 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 125580114900 in words is "one hundred twenty-five billion, five hundred eighty million, one hundred fourteen thousand, nine hundred".