125296640 has 224 divisors, whose sum is σ = 377464320. Its totient is φ = 38928384.

The previous prime is 125296631. The next prime is 125296649. The reversal of 125296640 is 46692521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125296631) and next prime (125296649).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 125296640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125296649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5447669 + ... + 5447691.

Almost surely, 2^125296640 is an apocalyptic number.

125296640 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 125296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188732160).

125296640 is an abundant number, since it is smaller than the sum of its proper divisors (252167680).

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

125296640 is an equidigital number, since it uses as much as digits as its factorization.

125296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 125296640 is about 11193.5981703829. The cubic root of 125296640 is about 500.3952075397.

The spelling of 125296640 in words is "one hundred twenty-five million, two hundred ninety-six thousand, six hundred forty".