137293852934784 has 576 divisors, whose sum is σ = 462298213239840. Its totient is φ = 35978604060672.

The previous prime is 137293852934753. The next prime is 137293852934803. The reversal of 137293852934784 is 487439258392731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499107427 + ... + 499382429.

Almost surely, 2^{137293852934784} is an apocalyptic number.

137293852934784 is a gapful number since it is divisible by the number (14) 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 137293852934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231149106619920).

137293852934784 is an abundant number, since it is smaller than the sum of its proper divisors (325004360305056).

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

137293852934784 is a wasteful number, since it uses less digits than its factorization.

137293852934784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275217 (or 275185 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 75.

The spelling of 137293852934784 in words is "one hundred thirty-seven trillion, two hundred ninety-three billion, eight hundred fifty-two million, nine hundred thirty-four thousand, seven hundred eighty-four".