137864133 has 48 divisors (see below), whose sum is σ = 236420800. Its totient is φ = 79120800.

The previous prime is 137864131. The next prime is 137864143. The reversal of 137864133 is 331468731.

137864133 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 641 + 3 + 3 = 666.

137864133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137864133 - 2¹ = 137864131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137864131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60963 + ... + 63183.

Almost surely, 2^137864133 is an apocalyptic number.

It is an amenable number.

137864133 is a deficient number, since it is larger than the sum of its proper divisors (98556667).

137864133 is a wasteful number, since it uses less digits than its factorization.

137864133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2254 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 137864133 is about 11741.5558168413. Note that the first 3 decimals coincide. The cubic root of 137864133 is about 516.5952770365.

The spelling of 137864133 in words is "one hundred thirty-seven million, eight hundred sixty-four thousand, one hundred thirty-three".