135633452161536 has 1280 divisors, whose sum is σ = 491164134912000. Its totient is φ = 36093619077120.

The previous prime is 135633452161523. The next prime is 135633452161567. The reversal of 135633452161536 is 635161254336531.

135633452161536 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 3 + 4 + 521 + 61 + 53 + 6 = 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 127 ways as a sum of consecutive naturals, for example, 99657201496 + ... + 99657202856.

It is an arithmetic number, because the mean of its divisors is an integer number (383721980400).

Almost surely, 2^{135633452161536} is an apocalyptic number.

135633452161536 is a gapful number since it is divisible by the number (16) 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 135633452161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245582067456000).

135633452161536 is an abundant number, since it is smaller than the sum of its proper divisors (355530682750464).

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

135633452161536 is a wasteful number, since it uses less digits than its factorization.

135633452161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2268 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 54.

The spelling of 135633452161536 in words is "one hundred thirty-five trillion, six hundred thirty-three billion, four hundred fifty-two million, one hundred sixty-one thousand, five hundred thirty-six".