137998083 has 16 divisors (see below), whose sum is σ = 194267520. Its totient is φ = 86893056.

The previous prime is 137998079. The next prime is 137998097. The reversal of 137998083 is 380899731.

137998083 = 457² + 458² + ... + 798².

It is not a de Polignac number, because 137998083 - 2² = 137998079 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137998013) 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 15 ways as a sum of consecutive naturals, for example, 16291 + ... + 23267.

It is an arithmetic number, because the mean of its divisors is an integer number (12141720).

Almost surely, 2^137998083 is an apocalyptic number.

137998083 is a deficient number, since it is larger than the sum of its proper divisors (56269437).

137998083 is a wasteful number, since it uses less digits than its factorization.

137998083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346.

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 137998083 is about 11747.2585312489. The cubic root of 137998083 is about 516.7625323790.

The spelling of 137998083 in words is "one hundred thirty-seven million, nine hundred ninety-eight thousand, eighty-three".