137349793 has 6 divisors (see below), whose sum is σ = 159774306. Its totient is φ = 117728352.

The previous prime is 137349791. The next prime is 137349847. The reversal of 137349793 is 397943731.

It can be written as a sum of positive squares in only one way, i.e., 136819809 + 529984 = 11697^2 + 728^2 .

It is not a de Polignac number, because 137349793 - 2¹ = 137349791 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137349791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1401480 + ... + 1401577.

It is an arithmetic number, because the mean of its divisors is an integer number (26629051).

Almost surely, 2^137349793 is an apocalyptic number.

It is an amenable number.

137349793 is a deficient number, since it is larger than the sum of its proper divisors (22424513).

137349793 is an equidigital number, since it uses as much as digits as its factorization.

137349793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803071 (or 2803064 counting only the distinct ones).

The product of its digits is 428652, while the sum is 46.

The square root of 137349793 is about 11719.6328014149. The cubic root of 137349793 is about 515.9520429460.

The spelling of 137349793 in words is "one hundred thirty-seven million, three hundred forty-nine thousand, seven hundred ninety-three".