137690397 has 48 divisors (see below), whose sum is σ = 235347840. Its totient is φ = 76754304.

The previous prime is 137690389. The next prime is 137690411. The reversal of 137690397 is 793096731.

It is not a de Polignac number, because 137690397 - 2³ = 137690389 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137690197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49783 + ... + 52475.

It is an arithmetic number, because the mean of its divisors is an integer number (4903080).

Almost surely, 2^137690397 is an apocalyptic number.

It is an amenable number.

137690397 is a deficient number, since it is larger than the sum of its proper divisors (97657443).

137690397 is a wasteful number, since it uses less digits than its factorization.

137690397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 137690397 is about 11734.1551464091. The cubic root of 137690397 is about 516.3781818358.

The spelling of 137690397 in words is "one hundred thirty-seven million, six hundred ninety thousand, three hundred ninety-seven".