137169816 has 128 divisors (see below), whose sum is σ = 421440000. Its totient is φ = 37086336.

The previous prime is 137169811. The next prime is 137169839. The reversal of 137169816 is 618961731.

137169816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137169811) 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, 155970 + ... + 156846.

It is an arithmetic number, because the mean of its divisors is an integer number (3292500).

Almost surely, 2^137169816 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 137169816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210720000).

137169816 is an abundant number, since it is smaller than the sum of its proper divisors (284270184).

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

137169816 is a wasteful number, since it uses less digits than its factorization.

137169816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 908 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 137169816 is about 11711.9518441633. The cubic root of 137169816 is about 515.7265843123.

It can be divided in two parts, 13716 and 9816, that added together give a palindrome (23532).

The spelling of 137169816 in words is "one hundred thirty-seven million, one hundred sixty-nine thousand, eight hundred sixteen".