12735131904 has 216 divisors, whose sum is σ = 41397622560. Its totient is φ = 3858877440.

The previous prime is 12735131897. The next prime is 12735131921. The reversal of 12735131904 is 40913153721.

12735131904 is a `hidden beast` number, since 127 + 3 + 513 + 19 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×12735131904² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828739 + ... + 843965.

It is an arithmetic number, because the mean of its divisors is an integer number (191655660).

Almost surely, 2^12735131904 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 12735131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20698811280).

12735131904 is an abundant number, since it is smaller than the sum of its proper divisors (28662490656).

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

12735131904 is a wasteful number, since it uses less digits than its factorization.

12735131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12735131904 in words is "twelve billion, seven hundred thirty-five million, one hundred thirty-one thousand, nine hundred four".