137088517 has 2 divisors, whose sum is σ = 137088518. Its totient is φ = 137088516.

The previous prime is 137088503. The next prime is 137088559. The reversal of 137088517 is 715880731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137030436 + 58081 = 11706^2 + 241^2 .

It is an emirp because it is prime and its reverse (715880731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137088517 - 2²⁷ = 2870789 is a prime.

It is a super-2 number, since 2×137088517² = 37586522986518578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137088517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137088617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68544258 + 68544259.

It is an arithmetic number, because the mean of its divisors is an integer number (68544259).

Almost surely, 2^137088517 is an apocalyptic number.

It is an amenable number.

137088517 is a deficient number, since it is larger than the sum of its proper divisors (1).

137088517 is an equidigital number, since it uses as much as digits as its factorization.

137088517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47040, while the sum is 40.

The square root of 137088517 is about 11708.4805589795. The cubic root of 137088517 is about 515.6246757366.

The spelling of 137088517 in words is "one hundred thirty-seven million, eighty-eight thousand, five hundred seventeen".