137824221 has 8 divisors (see below), whose sum is σ = 187233120. Its totient is φ = 90149072.

The previous prime is 137824213. The next prime is 137824231. The reversal of 137824221 is 122428731.

137824221 = T₂₂₅₄ + T₂₂₅₅ + ... + T₂₃₀₆.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137824221 - 2³ = 137824213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137824201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433251 + ... + 433568.

It is an arithmetic number, because the mean of its divisors is an integer number (23404140).

Almost surely, 2^137824221 is an apocalyptic number.

It is an amenable number.

137824221 is a deficient number, since it is larger than the sum of its proper divisors (49408899).

137824221 is an equidigital number, since it uses as much as digits as its factorization.

137824221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866875.

The product of its digits is 5376, while the sum is 30.

The square root of 137824221 is about 11739.8560894076. The cubic root of 137824221 is about 516.5454203642.

The spelling of 137824221 in words is "one hundred thirty-seven million, eight hundred twenty-four thousand, two hundred twenty-one".