137628493 has 8 divisors (see below), whose sum is σ = 142087928. Its totient is φ = 133208064.

The previous prime is 137628467. The next prime is 137628529. The reversal of 137628493 is 394826731.

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 98465929 = 6258^2 + 9923^2 .

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 137628493 - 2⁹ = 137627981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137628893) 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 7 ways as a sum of consecutive naturals, for example, 2496 + ... + 16777.

It is an arithmetic number, because the mean of its divisors is an integer number (17760991).

Almost surely, 2^137628493 is an apocalyptic number.

It is an amenable number.

137628493 is a deficient number, since it is larger than the sum of its proper divisors (4459435).

137628493 is a wasteful number, since it uses less digits than its factorization.

137628493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19503.

The product of its digits is 217728, while the sum is 43.

The square root of 137628493 is about 11731.5170800711. The cubic root of 137628493 is about 516.3007843621.

The spelling of 137628493 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, four hundred ninety-three".