135031904280 has 2048 divisors, whose sum is σ = 624269721600. Its totient is φ = 25181798400.

The previous prime is 135031904261. The next prime is 135031904341. The reversal of 135031904280 is 82409130531.

135031904280 is a `hidden beast` number, since 1 + 350 + 3 + 190 + 42 + 80 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2873019217 + ... + 2873019263.

It is an arithmetic number, because the mean of its divisors is an integer number (304819200).

Almost surely, 2^135031904280 is an apocalyptic number.

135031904280 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 135031904280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312134860800).

135031904280 is an abundant number, since it is smaller than the sum of its proper divisors (489237817320).

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

135031904280 is a wasteful number, since it uses less digits than its factorization.

135031904280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 135031904280 in words is "one hundred thirty-five billion, thirty-one million, nine hundred four thousand, two hundred eighty".