13427435136 has 128 divisors (see below), whose sum is σ = 36227217600. Its totient is φ = 4406018048.

The previous prime is 13427435129. The next prime is 13427435137. The reversal of 13427435136 is 63153472431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 13427435094 and 13427435103.

It is not an unprimeable number, because it can be changed into a prime (13427435137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7107280 + ... + 7109168.

Almost surely, 2^13427435136 is an apocalyptic number.

13427435136 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 13427435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113608800).

13427435136 is an abundant number, since it is smaller than the sum of its proper divisors (22799782464).

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

13427435136 is a wasteful number, since it uses less digits than its factorization.

13427435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2174 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The spelling of 13427435136 in words is "thirteen billion, four hundred twenty-seven million, four hundred thirty-five thousand, one hundred thirty-six".