125376640 has 64 divisors (see below), whose sum is σ = 301397760. Its totient is φ = 49871872.

The previous prime is 125376637. The next prime is 125376661. The reversal of 125376640 is 46673521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 125376596 and 125376605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144849 + ... + 145711.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2^125376640 is an apocalyptic number.

125376640 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 125376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

125376640 is an abundant number, since it is smaller than the sum of its proper divisors (176021120).

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

125376640 is an equidigital number, since it uses as much as digits as its factorization.

125376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 125376640 is about 11197.1710713019. The cubic root of 125376640 is about 500.5016831264.

The spelling of 125376640 in words is "one hundred twenty-five million, three hundred seventy-six thousand, six hundred forty".