137680497 has 12 divisors (see below), whose sum is σ = 199330560. Its totient is φ = 91575288.

The previous prime is 137680481. The next prime is 137680519. The reversal of 137680497 is 794086731.

137680497 is a `hidden beast` number, since 13 + 76 + 80 + 497 = 666.

It is not a de Polignac number, because 137680497 - 2⁴ = 137680481 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137680097) 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 in 11 ways as a sum of consecutive naturals, for example, 13473 + ... + 21374.

It is an arithmetic number, because the mean of its divisors is an integer number (16610880).

Almost surely, 2^137680497 is an apocalyptic number.

It is an amenable number.

137680497 is a deficient number, since it is larger than the sum of its proper divisors (61650063).

137680497 is a wasteful number, since it uses less digits than its factorization.

137680497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35292 (or 35289 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137680497 is about 11733.7332933726. The cubic root of 137680497 is about 516.3658055999.

The spelling of 137680497 in words is "one hundred thirty-seven million, six hundred eighty thousand, four hundred ninety-seven".