13125429504 has 486 divisors, whose sum is σ = 43972740630. Its totient is φ = 3761725440.

The previous prime is 13125429439. The next prime is 13125429509. The reversal of 13125429504 is 40592452131.

13125429504 is a `hidden beast` number, since 1 + 3 + 125 + 4 + 29 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9438511104 + 3686918400 = 97152^2 + 60720^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13125429509) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 147476692 + ... + 147476780.

Almost surely, 2^13125429504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986370315).

13125429504 is an abundant number, since it is smaller than the sum of its proper divisors (30847311126).

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

13125429504 is a wasteful number, since it uses less digits than its factorization.

13125429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13125429504 in words is "thirteen billion, one hundred twenty-five million, four hundred twenty-nine thousand, five hundred four".