125741440 has 128 divisors (see below), whose sum is σ = 335106720. Its totient is φ = 44728320.

The previous prime is 125741393. The next prime is 125741443. The reversal of 125741440 is 44147521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 125741399 and 125741408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125741443) 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, 372952 + ... + 373288.

Almost surely, 2^125741440 is an apocalyptic number.

125741440 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 125741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167553360).

125741440 is an abundant number, since it is smaller than the sum of its proper divisors (209365280).

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

125741440 is a wasteful number, since it uses less digits than its factorization.

125741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 125741440 is about 11213.4490679719. The cubic root of 125741440 is about 500.9866384751.

Adding to 125741440 its reverse (44147521), we get a palindrome (169888961).

The spelling of 125741440 in words is "one hundred twenty-five million, seven hundred forty-one thousand, four hundred forty".