135454869063864 has 576 divisors, whose sum is σ = 443641754687040. Its totient is φ = 37207141171200.

The previous prime is 135454869063791. The next prime is 135454869064003. The reversal of 135454869063864 is 468360968454531.

135454869063864 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 486 + 9 + 0 + 63 + 86 + 4 = 666.

It is a super-2 number, since 2×135454869063864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 135454869063792 and 135454869063801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1831845277 + ... + 1831919219.

It is an arithmetic number, because the mean of its divisors is an integer number (770211379665).

Almost surely, 2^{135454869063864} is an apocalyptic number.

135454869063864 is a gapful number since it is divisible by the number (14) 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 135454869063864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221820877343520).

135454869063864 is an abundant number, since it is smaller than the sum of its proper divisors (308186885623176).

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

135454869063864 is a wasteful number, since it uses less digits than its factorization.

135454869063864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74220 (or 74206 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 72.

The spelling of 135454869063864 in words is "one hundred thirty-five trillion, four hundred fifty-four billion, eight hundred sixty-nine million, sixty-three thousand, eight hundred sixty-four".