137767133 has 16 divisors (see below), whose sum is σ = 169004160. Its totient is φ = 109610496.

The previous prime is 137767127. The next prime is 137767153. The reversal of 137767133 is 331767731.

It is a cyclic number.

It is not a de Polignac number, because 137767133 - 2⁴ = 137767117 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 (137767153) 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 15 ways as a sum of consecutive naturals, for example, 758 + ... + 16616.

It is an arithmetic number, because the mean of its divisors is an integer number (10562760).

Almost surely, 2^137767133 is an apocalyptic number.

It is an amenable number.

137767133 is a deficient number, since it is larger than the sum of its proper divisors (31237027).

137767133 is a wasteful number, since it uses less digits than its factorization.

137767133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956.

The product of its digits is 55566, while the sum is 38.

The square root of 137767133 is about 11737.4244619508. The cubic root of 137767133 is about 516.4740913018.

The spelling of 137767133 in words is "one hundred thirty-seven million, seven hundred sixty-seven thousand, one hundred thirty-three".