125936640 has 176 divisors, whose sum is σ = 448047360. Its totient is φ = 33546240.

The previous prime is 125936627. The next prime is 125936653. The reversal of 125936640 is 46639521.

It is a happy number.

125936640 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (125936627) and next prime (125936653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125936595 and 125936604.

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, 137785 + ... + 138695.

Almost surely, 2^125936640 is an apocalyptic number.

125936640 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 125936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224023680).

125936640 is an abundant number, since it is smaller than the sum of its proper divisors (322110720).

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

125936640 is an equidigital number, since it uses as much as digits as its factorization.

125936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 125936640 is about 11222.1495267172. The cubic root of 125936640 is about 501.2457469846.

The spelling of 125936640 in words is "one hundred twenty-five million, nine hundred thirty-six thousand, six hundred forty".