125734560 has 192 divisors, whose sum is σ = 472614912. Its totient is φ = 27472896.

The previous prime is 125734463. The next prime is 125734561. The reversal of 125734560 is 65437521.

It is not an unprimeable number, because it can be changed into a prime (125734561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76467 + ... + 78093.

It is an arithmetic number, because the mean of its divisors is an integer number (2461536).

Almost surely, 2^125734560 is an apocalyptic number.

125734560 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 125734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236307456).

125734560 is an abundant number, since it is smaller than the sum of its proper divisors (346880352).

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

125734560 is a wasteful number, since it uses less digits than its factorization.

125734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 125734560 is about 11213.1422892961. The cubic root of 125734560 is about 500.9775010713.

The spelling of 125734560 in words is "one hundred twenty-five million, seven hundred thirty-four thousand, five hundred sixty".