125053440 has 160 divisors (see below), whose sum is σ = 421312320. Its totient is φ = 31555584.

The previous prime is 125053399. The next prime is 125053457. The reversal of 125053440 is 44350521.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125053440.

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, 145492 + ... + 146348.

It is an arithmetic number, because the mean of its divisors is an integer number (2633202).

Almost surely, 2^125053440 is an apocalyptic number.

125053440 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 125053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

125053440 is an abundant number, since it is smaller than the sum of its proper divisors (296258880).

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

125053440 is an equidigital number, since it uses as much as digits as its factorization.

125053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 125053440 is about 11182.7295415744. The cubic root of 125053440 is about 500.0712431817.

The spelling of 125053440 in words is "one hundred twenty-five million, fifty-three thousand, four hundred forty".