137892593 has 12 divisors (see below), whose sum is σ = 151541340. Its totient is φ = 125298432.

The previous prime is 137892583. The next prime is 137892607. The reversal of 137892593 is 395298731.

It can be written as a sum of positive squares in 6 ways, for example, as 38850289 + 99042304 = 6233^2 + 9952^2 .

It is not a de Polignac number, because 137892593 - 2¹⁴ = 137876209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137892523) 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 11 ways as a sum of consecutive naturals, for example, 155 + ... + 16607.

It is an arithmetic number, because the mean of its divisors is an integer number (12628445).

Almost surely, 2^137892593 is an apocalyptic number.

It is an amenable number.

137892593 is a deficient number, since it is larger than the sum of its proper divisors (13648747).

137892593 is a wasteful number, since it uses less digits than its factorization.

137892593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16516 (or 16499 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The square root of 137892593 is about 11742.7676890927. The cubic root of 137892593 is about 516.6308223948.

The spelling of 137892593 in words is "one hundred thirty-seven million, eight hundred ninety-two thousand, five hundred ninety-three".