12837134016 has 336 divisors, whose sum is σ = 44801958656. Its totient is φ = 3567504384.

The previous prime is 12837133961. The next prime is 12837134033. The reversal of 12837134016 is 61043173821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 4026375 + ... + 4029561.

Almost surely, 2^12837134016 is an apocalyptic number.

12837134016 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 12837134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400979328).

12837134016 is an abundant number, since it is smaller than the sum of its proper divisors (31964824640).

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

12837134016 is an equidigital number, since it uses as much as digits as its factorization.

12837134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12837134016 in words is "twelve billion, eight hundred thirty-seven million, one hundred thirty-four thousand, sixteen".