137199985 has 8 divisors (see below), whose sum is σ = 177304680. Its totient is φ = 101316864.

The previous prime is 137199977. The next prime is 137199989. The reversal of 137199985 is 589991731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4397409 + 132802576 = 2097^2 + 11524^2 .

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 137199985 - 2³ = 137199977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137199989) 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, 1055320 + ... + 1055449.

It is an arithmetic number, because the mean of its divisors is an integer number (22163085).

Almost surely, 2^137199985 is an apocalyptic number.

It is an amenable number.

137199985 is a deficient number, since it is larger than the sum of its proper divisors (40104695).

137199985 is a wasteful number, since it uses less digits than its factorization.

137199985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110787.

The product of its digits is 612360, while the sum is 52.

The square root of 137199985 is about 11713.2397311760. The cubic root of 137199985 is about 515.7643910136.

The spelling of 137199985 in words is "one hundred thirty-seven million, one hundred ninety-nine thousand, nine hundred eighty-five".