135289889280 has 1280 divisors, whose sum is σ = 599571624960. Its totient is φ = 28155838464.

The previous prime is 135289889263. The next prime is 135289889281. The reversal of 135289889280 is 82988982531.

135289889280 is a `hidden beast` number, since 1 + 3 + 528 + 9 + 8 + 89 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135289889281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 861718962 + ... + 861719118.

It is an arithmetic number, because the mean of its divisors is an integer number (468415332).

Almost surely, 2^135289889280 is an apocalyptic number.

135289889280 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 135289889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299785812480).

135289889280 is an abundant number, since it is smaller than the sum of its proper divisors (464281735680).

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

135289889280 is a wasteful number, since it uses less digits than its factorization.

135289889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 135289889280 in words is "one hundred thirty-five billion, two hundred eighty-nine million, eight hundred eighty-nine thousand, two hundred eighty".