137008314 has 16 divisors (see below), whose sum is σ = 304463040. Its totient is φ = 45669420.

The previous prime is 137008283. The next prime is 137008327. The reversal of 137008314 is 413800731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1268542 + ... + 1268649.

It is an arithmetic number, because the mean of its divisors is an integer number (19028940).

Almost surely, 2^137008314 is an apocalyptic number.

137008314 is an abundant number, since it is smaller than the sum of its proper divisors (167454726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137008314 is a wasteful number, since it uses less digits than its factorization.

137008314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537202 (or 2537196 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137008314 is about 11705.0550618098. The cubic root of 137008314 is about 515.5241015135.

The spelling of 137008314 in words is "one hundred thirty-seven million, eight thousand, three hundred fourteen".