135375480 has 96 divisors (see below), whose sum is σ = 455176800. Its totient is φ = 34852608.

The previous prime is 135375479. The next prime is 135375517. The reversal of 135375480 is 84573531.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3957 + ... + 16923.

It is an arithmetic number, because the mean of its divisors is an integer number (4741425).

Almost surely, 2^135375480 is an apocalyptic number.

135375480 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 135375480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227588400).

135375480 is an abundant number, since it is smaller than the sum of its proper divisors (319801320).

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

135375480 is a wasteful number, since it uses less digits than its factorization.

135375480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135375480 is about 11635.0969054839. The cubic root of 135375480 is about 513.4679450578.

The spelling of 135375480 in words is "one hundred thirty-five million, three hundred seventy-five thousand, four hundred eighty".