13151640096 has 432 divisors, whose sum is σ = 47809367424. Its totient is φ = 3347288064.

The previous prime is 13151640091. The next prime is 13151640119. The reversal of 13151640096 is 69004615131.

13151640096 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 640 + 0 + 9 + 6 = 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 13151640096.

It is not an unprimeable number, because it can be changed into a prime (13151640091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12371661 + ... + 12372723.

It is an arithmetic number, because the mean of its divisors is an integer number (110669832).

Almost surely, 2^13151640096 is an apocalyptic number.

13151640096 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 13151640096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904683712).

13151640096 is an abundant number, since it is smaller than the sum of its proper divisors (34657727328).

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

13151640096 is a wasteful number, since it uses less digits than its factorization.

13151640096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13151640096 in words is "thirteen billion, one hundred fifty-one million, six hundred forty thousand, ninety-six".