137816616 has 48 divisors (see below), whose sum is σ = 400796640. Its totient is φ = 39375840.

The previous prime is 137816611. The next prime is 137816639. The reversal of 137816616 is 616618731.

137816616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (137816611) 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, 57420 + ... + 59771.

It is an arithmetic number, because the mean of its divisors is an integer number (8349930).

Almost surely, 2^137816616 is an apocalyptic number.

It is an amenable number.

137816616 is an abundant number, since it is smaller than the sum of its proper divisors (262980024).

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

137816616 is a wasteful number, since it uses less digits than its factorization.

137816616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117214 (or 117203 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 137816616 is about 11739.5321882944. The cubic root of 137816616 is about 516.5359193729.

The spelling of 137816616 in words is "one hundred thirty-seven million, eight hundred sixteen thousand, six hundred sixteen".