137824493 has 8 divisors (see below), whose sum is σ = 141340416. Its totient is φ = 134316000.

The previous prime is 137824471. The next prime is 137824513. The reversal of 137824493 is 394428731.

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

It is not a de Polignac number, because 137824493 - 2⁸ = 137824237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137824493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137824693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69668 + ... + 71618.

It is an arithmetic number, because the mean of its divisors is an integer number (17667552).

Almost surely, 2^137824493 is an apocalyptic number.

It is an amenable number.

137824493 is a deficient number, since it is larger than the sum of its proper divisors (3515923).

137824493 is a wasteful number, since it uses less digits than its factorization.

137824493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715.

The product of its digits is 145152, while the sum is 41.

The square root of 137824493 is about 11739.8676738709. The cubic root of 137824493 is about 516.5457601697.

The spelling of 137824493 in words is "one hundred thirty-seven million, eight hundred twenty-four thousand, four hundred ninety-three".