12137348736 has 192 divisors, whose sum is σ = 35936376840. Its totient is φ = 3929702400.

The previous prime is 12137348701. The next prime is 12137348737. The reversal of 12137348736 is 63784373121.

12137348736 is a `hidden beast` number, since 1 + 2 + 137 + 3 + 487 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2068430400 + 10068918336 = 45480^2 + 100344^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 12137348691 and 12137348700.

It is not an unprimeable number, because it can be changed into a prime (12137348737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14783206 + ... + 14784026.

Almost surely, 2^12137348736 is an apocalyptic number.

12137348736 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 12137348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968188420).

12137348736 is an abundant number, since it is smaller than the sum of its proper divisors (23799028104).

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

12137348736 is a wasteful number, since it uses less digits than its factorization.

12137348736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1180 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 12137348736 in words is "twelve billion, one hundred thirty-seven million, three hundred forty-eight thousand, seven hundred thirty-six".