137379193 has 24 divisors (see below), whose sum is σ = 171333792. Its totient is φ = 109436544.

The previous prime is 137379157. The next prime is 137379217. The reversal of 137379193 is 391973731.

It is not a de Polignac number, because 137379193 - 2¹⁷ = 137248121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137379103) 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 23 ways as a sum of consecutive naturals, for example, 68146 + ... + 70132.

It is an arithmetic number, because the mean of its divisors is an integer number (7138908).

Almost surely, 2^137379193 is an apocalyptic number.

It is an amenable number.

137379193 is a deficient number, since it is larger than the sum of its proper divisors (33954599).

137379193 is a wasteful number, since it uses less digits than its factorization.

137379193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2094 counting only the distinct ones).

The product of its digits is 107163, while the sum is 43.

The square root of 137379193 is about 11720.8870398106. The cubic root of 137379193 is about 515.9888538445.

The spelling of 137379193 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, one hundred ninety-three".