137660993 has 2 divisors, whose sum is σ = 137660994. Its totient is φ = 137660992.

The previous prime is 137660959. The next prime is 137661011. The reversal of 137660993 is 399066731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75203584 + 62457409 = 8672^2 + 7903^2 .

It is a cyclic number.

It is not a de Polignac number, because 137660993 - 2²² = 133466689 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137660933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68830496 + 68830497.

It is an arithmetic number, because the mean of its divisors is an integer number (68830497).

Almost surely, 2^137660993 is an apocalyptic number.

137660993 is the 6272-nd centered heptagonal number.

It is an amenable number.

137660993 is a deficient number, since it is larger than the sum of its proper divisors (1).

137660993 is an equidigital number, since it uses as much as digits as its factorization.

137660993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 44.

The square root of 137660993 is about 11732.9021559033. The cubic root of 137660993 is about 516.3414214290.

The spelling of 137660993 in words is "one hundred thirty-seven million, six hundred sixty thousand, nine hundred ninety-three".