135884761488 has 800 divisors, whose sum is σ = 508167475200. Its totient is φ = 34120839168.

The previous prime is 135884761459. The next prime is 135884761489. The reversal of 135884761488 is 884167488531.

It is a happy number.

135884761488 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 8 + 4 + 7 + 614 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135884761489) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231489931 + ... + 231490517.

It is an arithmetic number, because the mean of its divisors is an integer number (635209344).

Almost surely, 2^135884761488 is an apocalyptic number.

135884761488 is a gapful number since it is divisible by the number (18) 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 135884761488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254083737600).

135884761488 is an abundant number, since it is smaller than the sum of its proper divisors (372282713712).

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

135884761488 is a wasteful number, since it uses less digits than its factorization.

135884761488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 135884761488 in words is "one hundred thirty-five billion, eight hundred eighty-four million, seven hundred sixty-one thousand, four hundred eighty-eight".