125060760 has 320 divisors, whose sum is σ = 478288800. Its totient is φ = 29272320.

The previous prime is 125060759. The next prime is 125060779. The reversal of 125060760 is 67060521.

125060760 is a `hidden beast` number, since 1 + 2 + 50 + 607 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4312426 + ... + 4312454.

Almost surely, 2^125060760 is an apocalyptic number.

125060760 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 125060760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239144400).

125060760 is an abundant number, since it is smaller than the sum of its proper divisors (353228040).

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

125060760 is a wasteful number, since it uses less digits than its factorization.

125060760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125060760 is about 11183.0568271828. The cubic root of 125060760 is about 500.0810002106.

The spelling of 125060760 in words is "one hundred twenty-five million, sixty thousand, seven hundred sixty".