125540712900 has 216 divisors, whose sum is σ = 408605488200. Its totient is φ = 32201164800.

The previous prime is 125540712893. The next prime is 125540712907. The reversal of 125540712900 is 9217045521.

125540712900 is a `hidden beast` number, since 1 + 2 + 554 + 0 + 7 + 12 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125540712893) and next prime (125540712907).

It can be written as a sum of positive squares in 12 ways, for example, as 70815596544 + 54725116356 = 266112^2 + 233934^2 .

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

It is not an unprimeable number, because it can be changed into a prime (125540712907) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7011960 + ... + 7029840.

It is an arithmetic number, because the mean of its divisors is an integer number (1891692075).

Almost surely, 2^125540712900 is an apocalyptic number.

125540712900 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 125540712900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204302744100).

125540712900 is an abundant number, since it is smaller than the sum of its proper divisors (283064775300).

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

125540712900 is a wasteful number, since it uses less digits than its factorization.

125540712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18199 (or 18189 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 125540712900 in words is "one hundred twenty-five billion, five hundred forty million, seven hundred twelve thousand, nine hundred".