137733697 has 6 divisors (see below), whose sum is σ = 140384342. Its totient is φ = 135132192.

The previous prime is 137733691. The next prime is 137733737. The reversal of 137733697 is 796337731.

It is a Cunningham number, because it is equal to 11736²+1.

It can be written as a sum of positive squares in 3 ways, for example, as 26873856 + 110859841 = 5184^2 + 10529^2 .

It is not a de Polignac number, because 137733697 - 2³ = 137733689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137733691) 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 5 ways as a sum of consecutive naturals, for example, 21708 + ... + 27325.

Almost surely, 2^137733697 is an apocalyptic number.

It is an amenable number.

137733697 is a deficient number, since it is larger than the sum of its proper divisors (2650645).

137733697 is an frugal number, since it uses more digits than its factorization.

137733697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49139 (or 49086 counting only the distinct ones).

The product of its digits is 500094, while the sum is 46.

The square root of 137733697 is about 11736.0000426040. Note that the first 4 decimals coincide. The cubic root of 137733697 is about 516.4323052711.

It can be divided in two parts, 13773369 and 7, that added together give a triangular number (13773376 = T₅₂₄₈).

The spelling of 137733697 in words is "one hundred thirty-seven million, seven hundred thirty-three thousand, six hundred ninety-seven".