135289405440 has 1024 divisors, whose sum is σ = 584341516800. Its totient is φ = 28991029248.

The previous prime is 135289405411. The next prime is 135289405441. The reversal of 135289405440 is 44504982531.

135289405440 is a `hidden beast` number, since 13 + 5 + 2 + 8 + 94 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135289405441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526417792 + ... + 526418048.

Almost surely, 2^135289405440 is an apocalyptic number.

135289405440 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 135289405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292170758400).

135289405440 is an abundant number, since it is smaller than the sum of its proper divisors (449052111360).

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

135289405440 is an equidigital number, since it uses as much as digits as its factorization.

135289405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 135289405440 in words is "one hundred thirty-five billion, two hundred eighty-nine million, four hundred five thousand, four hundred forty".