137713315 has 16 divisors (see below), whose sum is σ = 176474880. Its totient is φ = 102936960.

The previous prime is 137713313. The next prime is 137713327. The reversal of 137713315 is 513317731.

It is not a de Polignac number, because 137713315 - 2¹ = 137713313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (137713313) 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, 10824 + ... + 19813.

It is an arithmetic number, because the mean of its divisors is an integer number (11029680).

Almost surely, 2^137713315 is an apocalyptic number.

137713315 is a deficient number, since it is larger than the sum of its proper divisors (38761565).

137713315 is a wasteful number, since it uses less digits than its factorization.

137713315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30702.

The product of its digits is 6615, while the sum is 31.

The square root of 137713315 is about 11735.1316566965. The cubic root of 137713315 is about 516.4068299209.

The spelling of 137713315 in words is "one hundred thirty-seven million, seven hundred thirteen thousand, three hundred fifteen".