135984744 has 112 divisors (see below), whose sum is σ = 437025120. Its totient is φ = 38841120.

The previous prime is 135984743. The next prime is 135984749. The reversal of 135984744 is 447489531.

135984744 is a `hidden beast` number, since 13 + 598 + 4 + 7 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135984744.

It is not an unprimeable number, because it can be changed into a prime (135984743) 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 27 ways as a sum of consecutive naturals, for example, 39159 + ... + 42489.

It is an arithmetic number, because the mean of its divisors is an integer number (3902010).

Almost surely, 2^135984744 is an apocalyptic number.

135984744 is a gapful number since it is divisible by the number (14) 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 135984744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218512560).

135984744 is an abundant number, since it is smaller than the sum of its proper divisors (301040376).

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

135984744 is an equidigital number, since it uses as much as digits as its factorization.

135984744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3343 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 135984744 is about 11661.2496757423. The cubic root of 135984744 is about 514.2370882597.

The spelling of 135984744 in words is "one hundred thirty-five million, nine hundred eighty-four thousand, seven hundred forty-four".