1337134036704 has 96 divisors (see below), whose sum is σ = 3695797445760. Its totient is φ = 422128857600.

The previous prime is 1337134036691. The next prime is 1337134036739. The reversal of 1337134036704 is 4076304317331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1337134036704² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6206959 + ... + 6418769.

It is an arithmetic number, because the mean of its divisors is an integer number (38497890060).

Almost surely, 2^{1337134036704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337134036704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847898722880).

1337134036704 is an abundant number, since it is smaller than the sum of its proper divisors (2358663409056).

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

1337134036704 is a wasteful number, since it uses less digits than its factorization.

1337134036704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215304 (or 215296 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 1337134036704 in words is "one trillion, three hundred thirty-seven billion, one hundred thirty-four million, thirty-six thousand, seven hundred four".