137538333 has 12 divisors (see below), whose sum is σ = 200232448. Its totient is φ = 90969480.

The previous prime is 137538311. The next prime is 137538353. The reversal of 137538333 is 333835731.

It is not a de Polignac number, because 137538333 - 2⁸ = 137538077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137538353) 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 11 ways as a sum of consecutive naturals, for example, 59023 + ... + 61308.

Almost surely, 2^137538333 is an apocalyptic number.

It is an amenable number.

137538333 is a deficient number, since it is larger than the sum of its proper divisors (62694115).

137538333 is a wasteful number, since it uses less digits than its factorization.

137538333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120464 (or 120461 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 137538333 is about 11727.6738102660. The cubic root of 137538333 is about 516.1880173852.

The spelling of 137538333 in words is "one hundred thirty-seven million, five hundred thirty-eight thousand, three hundred thirty-three".