135374880 has 96 divisors (see below), whose sum is σ = 429710400. Its totient is φ = 35822592.

The previous prime is 135374843. The next prime is 135374881. The reversal of 135374880 is 88473531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (135374881) 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, 65706 + ... + 67734.

It is an arithmetic number, because the mean of its divisors is an integer number (4476150).

Almost surely, 2^135374880 is an apocalyptic number.

135374880 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 135374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214855200).

135374880 is an abundant number, since it is smaller than the sum of its proper divisors (294335520).

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

135374880 is a wasteful number, since it uses less digits than its factorization.

135374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 135374880 is about 11635.0711213984. The cubic root of 135374880 is about 513.4671864733.

The spelling of 135374880 in words is "one hundred thirty-five million, three hundred seventy-four thousand, eight hundred eighty".