135482112 has 144 divisors (see below), whose sum is σ = 424579680. Its totient is φ = 42467328.

The previous prime is 135482099. The next prime is 135482143. The reversal of 135482112 is 211284531.

135482112 is a `hidden beast` number, since 1 + 3 + 548 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116928 + ... + 118080.

It is an arithmetic number, because the mean of its divisors is an integer number (2948470).

Almost surely, 2^135482112 is an apocalyptic number.

135482112 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 135482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212289840).

135482112 is an abundant number, since it is smaller than the sum of its proper divisors (289097568).

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

135482112 is a wasteful number, since it uses less digits than its factorization.

135482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1175 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 135482112 is about 11639.6783460713. The cubic root of 135482112 is about 513.6027251144.

The spelling of 135482112 in words is "one hundred thirty-five million, four hundred eighty-two thousand, one hundred twelve".