135417410280 has 240 divisors, whose sum is σ = 480373342020. Its totient is φ = 34210418688.

The previous prime is 135417410269. The next prime is 135417410327. The reversal of 135417410280 is 82014714531.

135417410280 is a `hidden beast` number, since 1 + 3 + 541 + 7 + 4 + 102 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123365322756 + 12052087524 = 351234^2 + 109782^2 .

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1111752 + ... + 1227528.

Almost surely, 2^135417410280 is an apocalyptic number.

135417410280 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 135417410280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240186671010).

135417410280 is an abundant number, since it is smaller than the sum of its proper divisors (344955931740).

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

135417410280 is a wasteful number, since it uses less digits than its factorization.

135417410280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115838 (or 115806 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 135417410280 in words is "one hundred thirty-five billion, four hundred seventeen million, four hundred ten thousand, two hundred eighty".