135074112 has 112 divisors (see below), whose sum is σ = 391728960. Its totient is φ = 40886272.

The previous prime is 135074063. The next prime is 135074113. The reversal of 135074112 is 211470531.

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 (135074113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93943 + ... + 95369.

It is an arithmetic number, because the mean of its divisors is an integer number (3497580).

Almost surely, 2^135074112 is an apocalyptic number.

135074112 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 135074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

135074112 is an abundant number, since it is smaller than the sum of its proper divisors (256654848).

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

135074112 is a wasteful number, since it uses less digits than its factorization.

135074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135074112 is about 11622.1388737186. The cubic root of 135074112 is about 513.0866407095.

The spelling of 135074112 in words is "one hundred thirty-five million, seventy-four thousand, one hundred twelve".