137008814 has 16 divisors (see below), whose sum is σ = 219850848. Its totient is φ = 63808512.

The previous prime is 137008811. The next prime is 137008819. The reversal of 137008814 is 418800731.

It is a super-2 number, since 2×137008814² = 37542830227373192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137008811) 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 7 ways as a sum of consecutive naturals, for example, 17474 + ... + 24069.

It is an arithmetic number, because the mean of its divisors is an integer number (13740678).

Almost surely, 2^137008814 is an apocalyptic number.

137008814 is a deficient number, since it is larger than the sum of its proper divisors (82842034).

137008814 is a wasteful number, since it uses less digits than its factorization.

137008814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41659.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 137008814 is about 11705.0764200837. The cubic root of 137008814 is about 515.5247286329.

The spelling of 137008814 in words is "one hundred thirty-seven million, eight thousand, eight hundred fourteen".