125616345540 has 96 divisors (see below), whose sum is σ = 402444698880. Its totient is φ = 28678565376.

The previous prime is 125616345499. The next prime is 125616345551. The reversal of 125616345540 is 45543616521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 125616345492 and 125616345501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182946 + ... + 533574.

It is an arithmetic number, because the mean of its divisors is an integer number (4192132280).

Almost surely, 2^125616345540 is an apocalyptic number.

125616345540 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 125616345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201222349440).

125616345540 is an abundant number, since it is smaller than the sum of its proper divisors (276828353340).

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

125616345540 is a wasteful number, since it uses less digits than its factorization.

125616345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351501 (or 351499 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 125616345540 in words is "one hundred twenty-five billion, six hundred sixteen million, three hundred forty-five thousand, five hundred forty".