125575440 has 80 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 33104896.

The previous prime is 125575409. The next prime is 125575501. The reversal of 125575440 is 44575521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×125575440² = 31538382262387200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 18421 + ... + 24299.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^125575440 is an apocalyptic number.

125575440 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 125575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

125575440 is an abundant number, since it is smaller than the sum of its proper divisors (268149360).

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

125575440 is a wasteful number, since it uses less digits than its factorization.

125575440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 125575440 is about 11206.0447973404. The cubic root of 125575440 is about 500.7660789799.

The spelling of 125575440 in words is "one hundred twenty-five million, five hundred seventy-five thousand, four hundred forty".