125980635136 has 208 divisors, whose sum is σ = 277629030400. Its totient is φ = 56932761600.

The previous prime is 125980635119. The next prime is 125980635161. The reversal of 125980635136 is 631536089521.

It is a happy number.

It is a super-2 number, since 2×125980635136² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125980635136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190590646 + ... + 190591306.

Almost surely, 2^125980635136 is an apocalyptic number.

125980635136 is a gapful number since it is divisible by the number (16) 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 125980635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138814515200).

125980635136 is an abundant number, since it is smaller than the sum of its proper divisors (151648395264).

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

125980635136 is an equidigital number, since it uses as much as digits as its factorization.

125980635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 125980635136 in words is "one hundred twenty-five billion, nine hundred eighty million, six hundred thirty-five thousand, one hundred thirty-six".