137801314 has 16 divisors (see below), whose sum is σ = 236604096. Its totient is φ = 58964400.

The previous prime is 137801311. The next prime is 137801333. The reversal of 137801314 is 413108731.

It is not an unprimeable number, because it can be changed into a prime (137801311) 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, 1809 + ... + 16699.

It is an arithmetic number, because the mean of its divisors is an integer number (14787756).

Almost surely, 2^137801314 is an apocalyptic number.

137801314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137801314 is a deficient number, since it is larger than the sum of its proper divisors (98802782).

137801314 is a wasteful number, since it uses less digits than its factorization.

137801314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15561.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 137801314 is about 11738.8804406553. The cubic root of 137801314 is about 516.5168013947.

The spelling of 137801314 in words is "one hundred thirty-seven million, eight hundred one thousand, three hundred fourteen".