137733737 has 2 divisors, whose sum is σ = 137733738. Its totient is φ = 137733736.

The previous prime is 137733691. The next prime is 137733781. The reversal of 137733737 is 737337731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105596176 + 32137561 = 10276^2 + 5669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137733737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137733694 and 137733703.

It is not a weakly prime, because it can be changed into another prime (137733137) 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 as a sum of consecutive naturals, namely, 68866868 + 68866869.

It is an arithmetic number, because the mean of its divisors is an integer number (68866869).

Almost surely, 2^137733737 is an apocalyptic number.

It is an amenable number.

137733737 is a deficient number, since it is larger than the sum of its proper divisors (1).

137733737 is an equidigital number, since it uses as much as digits as its factorization.

137733737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 194481, while the sum is 41.

The square root of 137733737 is about 11736.0017467620. The cubic root of 137733737 is about 516.4323552645.

Subtracting from 137733737 its sum of digits (41), we obtain a square (137733696 = 11736²).

The spelling of 137733737 in words is "one hundred thirty-seven million, seven hundred thirty-three thousand, seven hundred thirty-seven".