136416 has 72 divisors (see below), whose sum is σ = 430920. Its totient is φ = 37632.

The previous prime is 136403. The next prime is 136417. The reversal of 136416 is 614631.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 136392 and 136401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136417) by changing a digit.

136416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4690 + ... + 4718.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2¹³⁶⁴¹⁶ is an apocalyptic number.

136416 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 136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460).

136416 is an abundant number, since it is smaller than the sum of its proper divisors (294504).

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

136416 is a wasteful number, since it uses less digits than its factorization.

136416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 136416 is about 369.3453668316. The cubic root of 136416 is about 51.4780124193.

The spelling of 136416 in words is "one hundred thirty-six thousand, four hundred sixteen".