137386353 has 24 divisors (see below), whose sum is σ = 199379232. Its totient is φ = 84110208.

The previous prime is 137386309. The next prime is 137386373. The reversal of 137386353 is 353683731.

It is not a de Polignac number, because 137386353 - 2¹² = 137382257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (137386373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117550 + ... + 118712.

It is an arithmetic number, because the mean of its divisors is an integer number (8307468).

Almost surely, 2^137386353 is an apocalyptic number.

137386353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137386353 is a deficient number, since it is larger than the sum of its proper divisors (61992879).

137386353 is a wasteful number, since it uses less digits than its factorization.

137386353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1412 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 137386353 is about 11721.1924734645. The cubic root of 137386353 is about 515.9978178803.

The spelling of 137386353 in words is "one hundred thirty-seven million, three hundred eighty-six thousand, three hundred fifty-three".