135943446528 has 112 divisors (see below), whose sum is σ = 402771467760. Its totient is φ = 45314408448.

The previous prime is 135943446521. The next prime is 135943446533. The reversal of 135943446528 is 825644349531.

It is a happy number.

135943446528 is a `hidden beast` number, since 1 + 3 + 594 + 3 + 4 + 46 + 5 + 2 + 8 = 666.

135943446528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135943446528² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135943446521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86125 + ... + 528492.

Almost surely, 2^135943446528 is an apocalyptic number.

135943446528 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 135943446528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201385733880).

135943446528 is an abundant number, since it is smaller than the sum of its proper divisors (266828021232).

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

135943446528 is an frugal number, since it uses more digits than its factorization.

135943446528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614652 (or 614622 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 135943446528 in words is "one hundred thirty-five billion, nine hundred forty-three million, four hundred forty-six thousand, five hundred twenty-eight".