137253374784 has 42 divisors (see below), whose sum is σ = 393412018610. Its totient is φ = 45751124736.

The previous prime is 137253374779. The next prime is 137253374809. The reversal of 137253374784 is 487473352731.

137253374784 is a `hidden beast` number, since 1 + 37 + 2 + 533 + 7 + 4 + 78 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75515040000 + 61738334784 = 274800^2 + 248472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137253374784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119142979 + ... + 119144130.

Almost surely, 2^137253374784 is an apocalyptic number.

It is an amenable number.

137253374784 is an abundant number, since it is smaller than the sum of its proper divisors (256158643826).

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

137253374784 is a wasteful number, since it uses less digits than its factorization.

137253374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238287127 (or 238287114 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 137253374784 in words is "one hundred thirty-seven billion, two hundred fifty-three million, three hundred seventy-four thousand, seven hundred eighty-four".