125086680 has 192 divisors, whose sum is σ = 446977440. Its totient is φ = 31352832.

The previous prime is 125086639. The next prime is 125086723. The reversal of 125086680 is 86680521.

It is a happy number.

125086680 is a `hidden beast` number, since 12 + 508 + 66 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164862 + ... + 165618.

Almost surely, 2^125086680 is an apocalyptic number.

125086680 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 125086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223488720).

125086680 is an abundant number, since it is smaller than the sum of its proper divisors (321890760).

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

125086680 is a wasteful number, since it uses less digits than its factorization.

125086680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 125086680 is about 11184.2156631567. The cubic root of 125086680 is about 500.1155466292.

The spelling of 125086680 in words is "one hundred twenty-five million, eighty-six thousand, six hundred eighty".