13134949335840 has 384 divisors, whose sum is σ = 41909957591040. Its totient is φ = 3457707982848.

The previous prime is 13134949335839. The next prime is 13134949335857. The reversal of 13134949335840 is 4853394943131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21219627051 + ... + 21219627669.

It is an arithmetic number, because the mean of its divisors is an integer number (109140514560).

Almost surely, 2^{13134949335840} is an apocalyptic number.

13134949335840 is a gapful number since it is divisible by the number (10) 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 13134949335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954978795520).

13134949335840 is an abundant number, since it is smaller than the sum of its proper divisors (28775008255200).

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

13134949335840 is a wasteful number, since it uses less digits than its factorization.

13134949335840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 13134949335840 in words is "thirteen trillion, one hundred thirty-four billion, nine hundred forty-nine million, three hundred thirty-five thousand, eight hundred forty".