136820016 has 100 divisors (see below), whose sum is σ = 398776312. Its totient is φ = 45287424.

The previous prime is 136820003. The next prime is 136820017. The reversal of 136820016 is 610028631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136820017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249855 + ... + 250401.

Almost surely, 2^136820016 is an apocalyptic number.

136820016 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 136820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199388156).

136820016 is an abundant number, since it is smaller than the sum of its proper divisors (261956296).

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

136820016 is a wasteful number, since it uses less digits than its factorization.

136820016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 136820016 is about 11697.0088484193. The cubic root of 136820016 is about 515.2878222714.

Adding to 136820016 its reverse (610028631), we get a palindrome (746848647).

The spelling of 136820016 in words is "one hundred thirty-six million, eight hundred twenty thousand, sixteen".