137802397344 has 96 divisors (see below), whose sum is σ = 374821945344. Its totient is φ = 44283114240.

The previous prime is 137802397331. The next prime is 137802397357. The reversal of 137802397344 is 443793208731.

It is an interprime number because it is at equal distance from previous prime (137802397331) and next prime (137802397357).

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 694657 + ... + 870719.

It is an arithmetic number, because the mean of its divisors is an integer number (3904395264).

Almost surely, 2^137802397344 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 137802397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187410972672).

137802397344 is an abundant number, since it is smaller than the sum of its proper divisors (237019548000).

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

137802397344 is a wasteful number, since it uses less digits than its factorization.

137802397344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176370 (or 176362 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 137802397344 in words is "one hundred thirty-seven billion, eight hundred two million, three hundred ninety-seven thousand, three hundred forty-four".