125070760 has 64 divisors (see below), whose sum is σ = 291755520. Its totient is φ = 48222720.

The previous prime is 125070727. The next prime is 125070761. The reversal of 125070760 is 67070521.

It is not an unprimeable number, because it can be changed into a prime (125070761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133012 + ... + 133948.

It is an arithmetic number, because the mean of its divisors is an integer number (4558680).

Almost surely, 2^125070760 is an apocalyptic number.

125070760 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 125070760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145877760).

125070760 is an abundant number, since it is smaller than the sum of its proper divisors (166684760).

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

125070760 is a wasteful number, since it uses less digits than its factorization.

125070760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 125070760 is about 11183.5039231897. The cubic root of 125070760 is about 500.0943288697.

It can be divided in two parts, 1250 and 70760, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 125070760 in words is "one hundred twenty-five million, seventy thousand, seven hundred sixty".