27132137136 has 200 divisors, whose sum is σ = 84745832864. Its totient is φ = 8330895360.

The previous prime is 27132137117. The next prime is 27132137183. The reversal of 27132137136 is 63173123172.

27132137136 is a `hidden beast` number, since 271 + 321 + 37 + 1 + 36 = 666.

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 27132137136.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9719901 + ... + 9722691.

Almost surely, 2^27132137136 is an apocalyptic number.

27132137136 is a gapful number since it is divisible by the number (26) 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 27132137136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42372916432).

27132137136 is an abundant number, since it is smaller than the sum of its proper divisors (57613695728).

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

27132137136 is a wasteful number, since it uses less digits than its factorization.

27132137136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3386 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The spelling of 27132137136 in words is "twenty-seven billion, one hundred thirty-two million, one hundred thirty-seven thousand, one hundred thirty-six".