137932321 has 4 divisors (see below), whose sum is σ = 137959444. Its totient is φ = 137905200.

The previous prime is 137932283. The next prime is 137932349. The reversal of 137932321 is 123239731.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 73290721 + 64641600 = 8561^2 + 8040^2 .

It is a 3-Lehmer number, since φ(137932321) divides (137932321-1)³.

It is a cyclic number.

It is not a de Polignac number, because 137932321 - 2¹⁷ = 137801249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137932391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3390 + ... + 16951.

It is an arithmetic number, because the mean of its divisors is an integer number (34489861).

Almost surely, 2^137932321 is an apocalyptic number.

137932321 is the 6781-st octagonal number.

It is an amenable number.

137932321 is a deficient number, since it is larger than the sum of its proper divisors (27123).

137932321 is an equidigital number, since it uses as much as digits as its factorization.

137932321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27122.

The product of its digits is 6804, while the sum is 31.

The square root of 137932321 is about 11744.4591616643. The cubic root of 137932321 is about 516.6804328394.

The spelling of 137932321 in words is "one hundred thirty-seven million, nine hundred thirty-two thousand, three hundred twenty-one".