135902880 has 192 divisors, whose sum is σ = 481057920. Its totient is φ = 35831808.

The previous prime is 135902863. The next prime is 135902909. The reversal of 135902880 is 88209531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704064 + ... + 704256.

It is an arithmetic number, because the mean of its divisors is an integer number (2505510).

Almost surely, 2^135902880 is an apocalyptic number.

135902880 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 135902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240528960).

135902880 is an abundant number, since it is smaller than the sum of its proper divisors (345155040).

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

135902880 is a wasteful number, since it uses less digits than its factorization.

135902880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 135902880 is about 11657.7390603839. The cubic root of 135902880 is about 514.1338758103.

The spelling of 135902880 in words is "one hundred thirty-five million, nine hundred two thousand, eight hundred eighty".