137504314 has 16 divisors (see below), whose sum is σ = 207816840. Its totient is φ = 68234560.

The previous prime is 137504303. The next prime is 137504359. The reversal of 137504314 is 413405731.

It can be written as a sum of positive squares in 4 ways, for example, as 137288089 + 216225 = 11717^2 + 465^2 .

It is a super-3 number, since 3×137504314³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 269892 + ... + 270400.

Almost surely, 2^137504314 is an apocalyptic number.

137504314 is a deficient number, since it is larger than the sum of its proper divisors (70312526).

137504314 is a wasteful number, since it uses less digits than its factorization.

137504314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 137504314 is about 11726.2233476938. The cubic root of 137504314 is about 516.1454555583.

The spelling of 137504314 in words is "one hundred thirty-seven million, five hundred four thousand, three hundred fourteen".