135884880 has 60 divisors (see below), whose sum is σ = 456349140. Its totient is φ = 36235776.

The previous prime is 135884863. The next prime is 135884891. The reversal of 135884880 is 88488531.

It can be written as a sum of positive squares in 2 ways, for example, as 86266944 + 49617936 = 9288^2 + 7044^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×135884880² = 36929401225228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93645 + ... + 95084.

It is an arithmetic number, because the mean of its divisors is an integer number (7605819).

Almost surely, 2^135884880 is an apocalyptic number.

135884880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135884880 is an abundant number, since it is smaller than the sum of its proper divisors (320464260).

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

135884880 is a wasteful number, since it uses less digits than its factorization.

135884880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188748 (or 188739 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 135884880 is about 11656.9670154805. The cubic root of 135884880 is about 514.1111762218. Note that the first 4 decimals are identical.

The spelling of 135884880 in words is "one hundred thirty-five million, eight hundred eighty-four thousand, eight hundred eighty".