137583397 has 16 divisors (see below), whose sum is σ = 168030720. Its totient is φ = 109963008.

The previous prime is 137583323. The next prime is 137583403. The reversal of 137583397 is 793385731.

It is a cyclic number.

It is not a de Polignac number, because 137583397 - 2⁷ = 137583269 is a prime.

It is a super-2 number, since 2×137583397² = 37858382260119218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137583307) 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 15 ways as a sum of consecutive naturals, for example, 7668 + ... + 18274.

It is an arithmetic number, because the mean of its divisors is an integer number (10501920).

Almost surely, 2^137583397 is an apocalyptic number.

137583397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137583397 is a deficient number, since it is larger than the sum of its proper divisors (30447323).

137583397 is a wasteful number, since it uses less digits than its factorization.

137583397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740.

The product of its digits is 476280, while the sum is 46.

The square root of 137583397 is about 11729.5949205418. The cubic root of 137583397 is about 516.2443870199.

The spelling of 137583397 in words is "one hundred thirty-seven million, five hundred eighty-three thousand, three hundred ninety-seven".