13125442176 has 640 divisors, whose sum is σ = 50011758720. Its totient is φ = 3317760000.

The previous prime is 13125442153. The next prime is 13125442181. The reversal of 13125442176 is 67124452131.

13125442176 is a `hidden beast` number, since 13 + 12 + 544 + 21 + 76 = 666.

It is a super-2 number, since 2×13125442176² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13125442176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32731576 + ... + 32731976.

It is an arithmetic number, because the mean of its divisors is an integer number (78143373).

Almost surely, 2^13125442176 is an apocalyptic number.

13125442176 is a gapful number since it is divisible by the number (16) 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 13125442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25005879360).

13125442176 is an abundant number, since it is smaller than the sum of its proper divisors (36886316544).

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

13125442176 is a wasteful number, since it uses less digits than its factorization.

13125442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 13125442176 in words is "thirteen billion, one hundred twenty-five million, four hundred forty-two thousand, one hundred seventy-six".