135354880 has 80 divisors (see below), whose sum is σ = 333538920. Its totient is φ = 52641792.

The previous prime is 135354871. The next prime is 135354883. The reversal of 135354880 is 88453531.

It can be written as a sum of positive squares in 4 ways, for example, as 104530176 + 30824704 = 10224^2 + 5552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (135354883) 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 7 ways as a sum of consecutive naturals, for example, 94006 + ... + 95434.

Almost surely, 2^135354880 is an apocalyptic number.

135354880 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 135354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166769460).

135354880 is an abundant number, since it is smaller than the sum of its proper divisors (198184040).

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

135354880 is an equidigital number, since it uses as much as digits as its factorization.

135354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 135354880 is about 11634.2116191859. The cubic root of 135354880 is about 513.4418990406.

The spelling of 135354880 in words is "one hundred thirty-five million, three hundred fifty-four thousand, eight hundred eighty".