135284940 has 144 divisors (see below), whose sum is σ = 493758720. Its totient is φ = 29289600.

The previous prime is 135284939. The next prime is 135284951. The reversal of 135284940 is 49482531.

It is a super-3 number, since 3×135284940³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135284895 and 135284904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21115 + ... + 26765.

It is an arithmetic number, because the mean of its divisors is an integer number (3428880).

Almost surely, 2^135284940 is an apocalyptic number.

135284940 is a gapful number since it is divisible by the number (10) 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 135284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246879360).

135284940 is an abundant number, since it is smaller than the sum of its proper divisors (358473780).

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

135284940 is a wasteful number, since it uses less digits than its factorization.

135284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 135284940 is about 11631.2054405380. The cubic root of 135284940 is about 513.3534492970.

The spelling of 135284940 in words is "one hundred thirty-five million, two hundred eighty-four thousand, nine hundred forty".