135044388864 has 1152 divisors, whose sum is σ = 532410278400. Its totient is φ = 33381089280.

The previous prime is 135044388833. The next prime is 135044388883. The reversal of 135044388864 is 468883440531.

It is a happy number.

135044388864 is a `hidden beast` number, since 13 + 50 + 443 + 8 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 135044388864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685504414 + ... + 685504610.

It is an arithmetic number, because the mean of its divisors is an integer number (462161700).

Almost surely, 2^135044388864 is an apocalyptic number.

135044388864 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 135044388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266205139200).

135044388864 is an abundant number, since it is smaller than the sum of its proper divisors (397365889536).

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

135044388864 is a wasteful number, since it uses less digits than its factorization.

135044388864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 135044388864 in words is "one hundred thirty-five billion, forty-four million, three hundred eighty-eight thousand, eight hundred sixty-four".