137958993 has 12 divisors (see below), whose sum is σ = 199383808. Its totient is φ = 91922040.

The previous prime is 137958983. The next prime is 137959001. The reversal of 137958993 is 399859731.

It is not a de Polignac number, because 137958993 - 2¹⁰ = 137957969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137958913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20928 + ... + 26718.

Almost surely, 2^137958993 is an apocalyptic number.

It is an amenable number.

137958993 is a deficient number, since it is larger than the sum of its proper divisors (61424815).

137958993 is a wasteful number, since it uses less digits than its factorization.

137958993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8441 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 137958993 is about 11745.5946209632. The cubic root of 137958993 is about 516.7137342252.

The spelling of 137958993 in words is "one hundred thirty-seven million, nine hundred fifty-eight thousand, nine hundred ninety-three".