137876733 has 12 divisors (see below), whose sum is σ = 199323228. Its totient is φ = 91840320.

The previous prime is 137876699. The next prime is 137876773. The reversal of 137876733 is 337678731.

It can be written as a sum of positive squares in 2 ways, for example, as 124612569 + 13264164 = 11163^2 + 3642^2 .

It is not a de Polignac number, because 137876733 - 2¹⁰ = 137875709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137876773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6091 + ... + 17687.

It is an arithmetic number, because the mean of its divisors is an integer number (16610269).

Almost surely, 2^137876733 is an apocalyptic number.

It is an amenable number.

137876733 is a deficient number, since it is larger than the sum of its proper divisors (61446495).

137876733 is a wasteful number, since it uses less digits than its factorization.

137876733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924 (or 12921 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 137876733 is about 11742.0923603930. The cubic root of 137876733 is about 516.6110145168.

The spelling of 137876733 in words is "one hundred thirty-seven million, eight hundred seventy-six thousand, seven hundred thirty-three".