125087070240 has 432 divisors, whose sum is σ = 470376414144. Its totient is φ = 30247726080.

The previous prime is 125087070239. The next prime is 125087070259. The reversal of 125087070240 is 42070780521.

125087070240 is a `hidden beast` number, since 12 + 508 + 70 + 70 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125087070195 and 125087070204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102278269 + ... + 102279491.

It is an arithmetic number, because the mean of its divisors is an integer number (1088834292).

Almost surely, 2^125087070240 is an apocalyptic number.

125087070240 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 125087070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235188207072).

125087070240 is an abundant number, since it is smaller than the sum of its proper divisors (345289343904).

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

125087070240 is a wasteful number, since it uses less digits than its factorization.

125087070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 125087070240 in words is "one hundred twenty-five billion, eighty-seven million, seventy thousand, two hundred forty".