137082321 has 16 divisors (see below), whose sum is σ = 213774400. Its totient is φ = 86577984.

The previous prime is 137082313. The next prime is 137082329. The reversal of 137082321 is 123280731.

137082321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137082313) and next prime (137082329).

It is not a de Polignac number, because 137082321 - 2³ = 137082313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137082329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133096 + ... + 134121.

It is an arithmetic number, because the mean of its divisors is an integer number (13360900).

Almost surely, 2^137082321 is an apocalyptic number.

It is an amenable number.

137082321 is a deficient number, since it is larger than the sum of its proper divisors (76692079).

137082321 is a wasteful number, since it uses less digits than its factorization.

137082321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267245 (or 267239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137082321 is about 11708.2159614520. The cubic root of 137082321 is about 515.6169073771.

The spelling of 137082321 in words is "one hundred thirty-seven million, eighty-two thousand, three hundred twenty-one".