135048332160 has 1280 divisors, whose sum is σ = 585958665600. Its totient is φ = 28983951360.

The previous prime is 135048332123. The next prime is 135048332171. The reversal of 135048332160 is 61233840531.

135048332160 is a `hidden beast` number, since 13 + 5 + 0 + 483 + 3 + 2 + 160 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 431464164 + ... + 431464476.

Almost surely, 2^135048332160 is an apocalyptic number.

135048332160 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 135048332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292979332800).

135048332160 is an abundant number, since it is smaller than the sum of its proper divisors (450910333440).

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

135048332160 is a wasteful number, since it uses less digits than its factorization.

135048332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 135048332160 in words is "one hundred thirty-five billion, forty-eight million, three hundred thirty-two thousand, one hundred sixty".