135533112 has 256 divisors, whose sum is σ = 444165120. Its totient is φ = 33792000.

The previous prime is 135533087. The next prime is 135533113. The reversal of 135533112 is 211335531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135533113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1341862 + ... + 1341962.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^135533112 is an apocalyptic number.

135533112 is a gapful number since it is divisible by the number (12) 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 135533112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

135533112 is an abundant number, since it is smaller than the sum of its proper divisors (308632008).

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

135533112 is a wasteful number, since it uses less digits than its factorization.

135533112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 135533112 is about 11641.8689221276. The cubic root of 135533112 is about 513.6671627796.

Adding to 135533112 its reverse (211335531), we get a palindrome (346868643).

The spelling of 135533112 in words is "one hundred thirty-five million, five hundred thirty-three thousand, one hundred twelve".