137583607 has 4 divisors (see below), whose sum is σ = 157238416. Its totient is φ = 117928800.

The previous prime is 137583583. The next prime is 137583619. The reversal of 137583607 is 706385731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 706385731 = 179 ⋅3946289.

It is a cyclic number.

It is not a de Polignac number, because 137583607 - 2¹¹ = 137581559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137583607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137583647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9827394 + ... + 9827407.

It is an arithmetic number, because the mean of its divisors is an integer number (39309604).

Almost surely, 2^137583607 is an apocalyptic number.

137583607 is a deficient number, since it is larger than the sum of its proper divisors (19654809).

137583607 is an equidigital number, since it uses as much as digits as its factorization.

137583607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19654808.

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 137583607 is about 11729.6038722542. The cubic root of 137583607 is about 516.2446496757.

The spelling of 137583607 in words is "one hundred thirty-seven million, five hundred eighty-three thousand, six hundred seven".