137364 has 12 divisors (see below), whose sum is σ = 320544. Its totient is φ = 45784.

The previous prime is 137363. The next prime is 137369. The reversal of 137364 is 463731.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 3² + 3⁹ + 7⁶ + 6 + 4² .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137364.

It is not an unprimeable number, because it can be changed into a prime (137363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5712 + ... + 5735.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2¹³⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

137364 is an abundant number, since it is smaller than the sum of its proper divisors (183180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137364 is a wasteful number, since it uses less digits than its factorization.

137364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454 (or 11452 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 137364 is about 370.6264966243. The cubic root of 137364 is about 51.5969831780.

The spelling of 137364 in words is "one hundred thirty-seven thousand, three hundred sixty-four".