125006760 has 128 divisors (see below), whose sum is σ = 419184000. Its totient is φ = 33136128.

The previous prime is 125006743. The next prime is 125006801. The reversal of 125006760 is 67600521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305436 + ... + 305844.

It is an arithmetic number, because the mean of its divisors is an integer number (3274875).

Almost surely, 2^125006760 is an apocalyptic number.

125006760 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 125006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209592000).

125006760 is an abundant number, since it is smaller than the sum of its proper divisors (294177240).

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

125006760 is a wasteful number, since it uses less digits than its factorization.

125006760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

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

The square root of 125006760 is about 11180.6421998023. The cubic root of 125006760 is about 500.0090131709.

The spelling of 125006760 in words is "one hundred twenty-five million, six thousand, seven hundred sixty".