125262640 has 40 divisors (see below), whose sum is σ = 293552640. Its totient is φ = 49706496.

The previous prime is 125262617. The next prime is 125262677. The reversal of 125262640 is 46262521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 125262599 and 125262608.

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, 3996 + ... + 16324.

It is an arithmetic number, because the mean of its divisors is an integer number (7338816).

Almost surely, 2^125262640 is an apocalyptic number.

125262640 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 125262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146776320).

125262640 is an abundant number, since it is smaller than the sum of its proper divisors (168290000).

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

125262640 is a wasteful number, since it uses less digits than its factorization.

125262640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 125262640 is about 11192.0793421062. The cubic root of 125262640 is about 500.3499416912.

The spelling of 125262640 in words is "one hundred twenty-five million, two hundred sixty-two thousand, six hundred forty".