135983552 has 56 divisors (see below), whose sum is σ = 286115760. Its totient is φ = 64010240.

The previous prime is 135983539. The next prime is 135983557. The reversal of 135983552 is 255389531.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135983557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75203 + ... + 76989.

It is an arithmetic number, because the mean of its divisors is an integer number (5109210).

Almost surely, 2^135983552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143057880).

135983552 is an abundant number, since it is smaller than the sum of its proper divisors (150132208).

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

135983552 is a wasteful number, since it uses less digits than its factorization.

135983552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1859 counting only the distinct ones).

The product of its digits is 162000, while the sum is 41.

The square root of 135983552 is about 11661.1985661852. The cubic root of 135983552 is about 514.2355857078.

The spelling of 135983552 in words is "one hundred thirty-five million, nine hundred eighty-three thousand, five hundred fifty-two".