135408324149280 has 1152 divisors, whose sum is σ = 600867608544000. Its totient is φ = 28225407909888.

The previous prime is 135408324149257. The next prime is 135408324149339. The reversal of 135408324149280 is 82941423804531.

It is a happy number.

135408324149280 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 0 + 8 + 32 + 41 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228106296 + ... + 228699144.

It is an arithmetic number, because the mean of its divisors is an integer number (521586465750).

Almost surely, 2^{135408324149280} is an apocalyptic number.

135408324149280 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 135408324149280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300433804272000).

135408324149280 is an abundant number, since it is smaller than the sum of its proper divisors (465459284394720).

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

135408324149280 is a wasteful number, since it uses less digits than its factorization.

135408324149280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592983 (or 592962 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 135408324149280 in words is "one hundred thirty-five trillion, four hundred eight billion, three hundred twenty-four million, one hundred forty-nine thousand, two hundred eighty".