137899314 has 64 divisors (see below), whose sum is σ = 351406080. Its totient is φ = 39266640.

The previous prime is 137899313. The next prime is 137899327. The reversal of 137899314 is 413998731.

It is a self number, because there is not a number n which added to its sum of digits gives 137899314.

It is not an unprimeable number, because it can be changed into a prime (137899313) 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 31 ways as a sum of consecutive naturals, for example, 185227 + ... + 185969.

It is an arithmetic number, because the mean of its divisors is an integer number (5490720).

Almost surely, 2^137899314 is an apocalyptic number.

137899314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137899314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175703040).

137899314 is an abundant number, since it is smaller than the sum of its proper divisors (213506766).

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

137899314 is a wasteful number, since it uses less digits than its factorization.

137899314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 137899314 is about 11743.0538617516. The cubic root of 137899314 is about 516.6392159308.

The spelling of 137899314 in words is "one hundred thirty-seven million, eight hundred ninety-nine thousand, three hundred fourteen".