137793202432 has 108 divisors (see below), whose sum is σ = 297700462836. Its totient is φ = 63618580480.

The previous prime is 137793202319. The next prime is 137793202471. The reversal of 137793202432 is 234202397731.

It can be written as a sum of positive squares in 6 ways, for example, as 17789157376 + 120004045056 = 133376^2 + 346416^2 .

It is a super-2 number, since 2×137793202432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3903582 + ... + 3938722.

It is an arithmetic number, because the mean of its divisors is an integer number (2756485767).

Almost surely, 2^137793202432 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 137793202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148850231418).

137793202432 is an abundant number, since it is smaller than the sum of its proper divisors (159907260404).

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

137793202432 is an equidigital number, since it uses as much as digits as its factorization.

137793202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35244 (or 35213 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 43.

The spelling of 137793202432 in words is "one hundred thirty-seven billion, seven hundred ninety-three million, two hundred two thousand, four hundred thirty-two".