125507840 has 72 divisors (see below), whose sum is σ = 310426368. Its totient is φ = 48568320.

The previous prime is 125507827. The next prime is 125507873. The reversal of 125507840 is 48705521.

It is a super-4 number, since 4×125507840⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 125507797 and 125507806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38099 + ... + 41261.

Almost surely, 2^125507840 is an apocalyptic number.

125507840 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 125507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155213184).

125507840 is an abundant number, since it is smaller than the sum of its proper divisors (184918528).

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

125507840 is an equidigital number, since it uses as much as digits as its factorization.

125507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 125507840 is about 11203.0281620640. The cubic root of 125507840 is about 500.6762050811.

The spelling of 125507840 in words is "one hundred twenty-five million, five hundred seven thousand, eight hundred forty".