137816701 has 12 divisors (see below), whose sum is σ = 152004636. Its totient is φ = 124857920.

The previous prime is 137816687. The next prime is 137816711. The reversal of 137816701 is 107618731.

It can be written as a sum of positive squares in 2 ways, for example, as 22791076 + 115025625 = 4774^2 + 10725^2 .

It is not a de Polignac number, because 137816701 - 2¹⁹ = 137292413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137816711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36561 + ... + 40153.

It is an arithmetic number, because the mean of its divisors is an integer number (12667053).

Almost surely, 2^137816701 is an apocalyptic number.

137816701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137816701 is a deficient number, since it is larger than the sum of its proper divisors (14187935).

137816701 is a wasteful number, since it uses less digits than its factorization.

137816701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 137816701 is about 11739.5358085403. The cubic root of 137816701 is about 516.5360255661.

The spelling of 137816701 in words is "one hundred thirty-seven million, eight hundred sixteen thousand, seven hundred one".