137616496 has 40 divisors (see below), whose sum is σ = 283267584. Its totient is φ = 64542720.

The previous prime is 137616491. The next prime is 137616503. The reversal of 137616496 is 694616731.

137616496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137616491) 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, 103516 + ... + 104836.

Almost surely, 2^137616496 is an apocalyptic number.

137616496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137616496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141633792).

137616496 is an abundant number, since it is smaller than the sum of its proper divisors (145651088).

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

137616496 is a wasteful number, since it uses less digits than its factorization.

137616496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1723 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 137616496 is about 11731.0057539838. The cubic root of 137616496 is about 516.2857820411.

The spelling of 137616496 in words is "one hundred thirty-seven million, six hundred sixteen thousand, four hundred ninety-six".