137388381 has 24 divisors (see below), whose sum is σ = 200398176. Its totient is φ = 83678400.

The previous prime is 137388343. The next prime is 137388413. The reversal of 137388381 is 183883731.

It is not a de Polignac number, because 137388381 - 2¹⁰ = 137387357 is a prime.

It is a super-2 number, since 2×137388381² = 37751134467602322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137388481) 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 23 ways as a sum of consecutive naturals, for example, 49866 + ... + 52548.

It is an arithmetic number, because the mean of its divisors is an integer number (8349924).

Almost surely, 2^137388381 is an apocalyptic number.

It is an amenable number.

137388381 is a deficient number, since it is larger than the sum of its proper divisors (63009795).

137388381 is a wasteful number, since it uses less digits than its factorization.

137388381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2800 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 137388381 is about 11721.2789831144. The cubic root of 137388381 is about 516.0003567992. Note that the first 3 decimals are identical.

The spelling of 137388381 in words is "one hundred thirty-seven million, three hundred eighty-eight thousand, three hundred eighty-one".