137278713 has 32 divisors (see below), whose sum is σ = 218115072. Its totient is φ = 75700800.

The previous prime is 137278711. The next prime is 137278733. The reversal of 137278713 is 317872731.

It is not a de Polignac number, because 137278713 - 2¹ = 137278711 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 (137278711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28206 + ... + 32712.

It is an arithmetic number, because the mean of its divisors is an integer number (6816096).

Almost surely, 2^137278713 is an apocalyptic number.

137278713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137278713 is a deficient number, since it is larger than the sum of its proper divisors (80836359).

137278713 is a wasteful number, since it uses less digits than its factorization.

137278713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605.

The product of its digits is 49392, while the sum is 39.

The square root of 137278713 is about 11716.5998907533. The cubic root of 137278713 is about 515.8630240049.

The spelling of 137278713 in words is "one hundred thirty-seven million, two hundred seventy-eight thousand, seven hundred thirteen".