135554808007440 has 240 divisors, whose sum is σ = 472556879174016. Its totient is φ = 36112882406400.

The previous prime is 135554808007429. The next prime is 135554808007499. The reversal of 135554808007440 is 44700808455531.

It is a happy number.

135554808007440 is a `hidden beast` number, since 1 + 3 + 5 + 55 + 480 + 8 + 0 + 0 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 16660980 + ... + 23424300.

Almost surely, 2^{135554808007440} is an apocalyptic number.

135554808007440 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 135554808007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236278439587008).

135554808007440 is an abundant number, since it is smaller than the sum of its proper divisors (337002071166576).

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

135554808007440 is a wasteful number, since it uses less digits than its factorization.

135554808007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764380 (or 6764362 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 135554808007440 in words is "one hundred thirty-five trillion, five hundred fifty-four billion, eight hundred eight million, seven thousand, four hundred forty".