135844416 has 84 divisors (see below), whose sum is σ = 412307532. Its totient is φ = 42614784.

The previous prime is 135844393. The next prime is 135844421. The reversal of 135844416 is 614448531.

135844416 is a `hidden beast` number, since 135 + 84 + 441 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 50466816 = 9240^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2856 + ... + 16728.

It is an arithmetic number, because the mean of its divisors is an integer number (4908423).

Almost surely, 2^135844416 is an apocalyptic number.

135844416 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 135844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206153766).

135844416 is an abundant number, since it is smaller than the sum of its proper divisors (276463116).

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

135844416 is a wasteful number, since it uses less digits than its factorization.

135844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 13895 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 135844416 is about 11655.2312718367. The cubic root of 135844416 is about 514.0601402275.

The spelling of 135844416 in words is "one hundred thirty-five million, eight hundred forty-four thousand, four hundred sixteen".