137355313 has 8 divisors (see below), whose sum is σ = 144698400. Its totient is φ = 130023648.

The previous prime is 137355311. The next prime is 137355319. The reversal of 137355313 is 313553731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137355313 - 2¹ = 137355311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137355311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34458 + ... + 38236.

It is an arithmetic number, because the mean of its divisors is an integer number (18087300).

Almost surely, 2^137355313 is an apocalyptic number.

It is an amenable number.

137355313 is a deficient number, since it is larger than the sum of its proper divisors (7343087).

137355313 is a wasteful number, since it uses less digits than its factorization.

137355313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711.

The product of its digits is 14175, while the sum is 31.

The square root of 137355313 is about 11719.8683013078. The cubic root of 137355313 is about 515.9589547805.

The spelling of 137355313 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, three hundred thirteen".