137016 has 48 divisors (see below), whose sum is σ = 407160. Its totient is φ = 41280.

The previous prime is 136999. The next prime is 137029. The reversal of 137016 is 610731.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 137016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706 + ... + 878.

2¹³⁷⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203580).

137016 is an abundant number, since it is smaller than the sum of its proper divisors (270144).

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

137016 is a wasteful number, since it uses less digits than its factorization.

137016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137016 is about 370.1567235645. The cubic root of 137016 is about 51.5533741425.

Adding to 137016 its reverse (610731), we get a palindrome (747747).

The spelling of 137016 in words is "one hundred thirty-seven thousand, sixteen".