13137147216 has 80 divisors (see below), whose sum is σ = 37737168000. Its totient is φ = 4375717632.

The previous prime is 13137147211. The next prime is 13137147223. The reversal of 13137147216 is 61274173131.

It is a happy number.

13137147216 is a `hidden beast` number, since 1 + 31 + 371 + 47 + 216 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137147211) 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, 593500 + ... + 615236.

It is an arithmetic number, because the mean of its divisors is an integer number (471714600).

Almost surely, 2^13137147216 is an apocalyptic number.

13137147216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13137147216 is an abundant number, since it is smaller than the sum of its proper divisors (24600020784).

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

13137147216 is a wasteful number, since it uses less digits than its factorization.

13137147216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23153 (or 23141 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 13137147216 in words is "thirteen billion, one hundred thirty-seven million, one hundred forty-seven thousand, two hundred sixteen".