125160182640 has 480 divisors, whose sum is σ = 446677410816. Its totient is φ = 32558423040.

The previous prime is 125160182639. The next prime is 125160182663. The reversal of 125160182640 is 46281061521.

It is a happy number.

125160182640 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 6 + 0 + 1 + 8 + 2 + 640 = 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 = 125160182595 and 125160182604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341035737 + ... + 341036103.

Almost surely, 2^125160182640 is an apocalyptic number.

125160182640 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 125160182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223338705408).

125160182640 is an abundant number, since it is smaller than the sum of its proper divisors (321517228176).

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

125160182640 is a wasteful number, since it uses less digits than its factorization.

125160182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

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

The spelling of 125160182640 in words is "one hundred twenty-five billion, one hundred sixty million, one hundred eighty-two thousand, six hundred forty".