135188408880 has 180 divisors, whose sum is σ = 528131590272. Its totient is φ = 30900199680.

The previous prime is 135188408791. The next prime is 135188408893. The reversal of 135188408880 is 88804881531.

135188408880 is a `hidden beast` number, since 1 + 3 + 518 + 8 + 40 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1880656 + ... + 1951215.

Almost surely, 2^135188408880 is an apocalyptic number.

135188408880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135188408880 is an abundant number, since it is smaller than the sum of its proper divisors (392943181392).

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

135188408880 is a wasteful number, since it uses less digits than its factorization.

135188408880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831904 (or 3831888 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 135188408880 in words is "one hundred thirty-five billion, one hundred eighty-eight million, four hundred eight thousand, eight hundred eighty".