125516440 has 96 divisors (see below), whose sum is σ = 347937120. Its totient is φ = 40492032.

The previous prime is 125516429. The next prime is 125516459. The reversal of 125516440 is 44615521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 125516399 and 125516408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31437 + ... + 35203.

It is an arithmetic number, because the mean of its divisors is an integer number (3624345).

Almost surely, 2^125516440 is an apocalyptic number.

125516440 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 125516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173968560).

125516440 is an abundant number, since it is smaller than the sum of its proper divisors (222420680).

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

125516440 is a wasteful number, since it uses less digits than its factorization.

125516440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 125516440 is about 11203.4119802853. The cubic root of 125516440 is about 500.6876405341.

The spelling of 125516440 in words is "one hundred twenty-five million, five hundred sixteen thousand, four hundred forty".