125759040 has 112 divisors (see below), whose sum is σ = 435620160. Its totient is φ = 30484480.

The previous prime is 125759017. The next prime is 125759057. The reversal of 125759040 is 40957521.

It is a super-2 number, since 2×125759040² = 31630672283443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 125758992 and 125759010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4606 + ... + 16514.

Almost surely, 2^125759040 is an apocalyptic number.

125759040 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 125759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217810080).

125759040 is an abundant number, since it is smaller than the sum of its proper divisors (309861120).

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

125759040 is a wasteful number, since it uses less digits than its factorization.

125759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 125759040 is about 11214.2338124368. The cubic root of 125759040 is about 501.0100117122.

The spelling of 125759040 in words is "one hundred twenty-five million, seven hundred fifty-nine thousand, forty".