135293984 has 96 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 54127872.

The previous prime is 135293969. The next prime is 135293987. The reversal of 135293984 is 489392531.

135293984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135293984³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135293987) 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, 353057 + ... + 353439.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^135293984 is an apocalyptic number.

135293984 is a gapful number since it is divisible by the number (14) 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 135293984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

135293984 is an abundant number, since it is smaller than the sum of its proper divisors (189846496).

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

135293984 is a wasteful number, since it uses less digits than its factorization.

135293984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its digits is 233280, while the sum is 44.

The square root of 135293984 is about 11631.5942157556. The cubic root of 135293984 is about 513.3648885233.

The spelling of 135293984 in words is "one hundred thirty-five million, two hundred ninety-three thousand, nine hundred eighty-four".