135359918733312 has 1536 divisors, whose sum is σ = 505898265600000. Its totient is φ = 35534473003008.

The previous prime is 135359918733289. The next prime is 135359918733317. The reversal of 135359918733312 is 213337819953531.

135359918733312 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 599 + 1 + 8 + 7 + 3 + 3 + 31 + 2 = 666.

135359918733312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a self number, because there is not a number n which added to its sum of digits gives 135359918733312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135359918733317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58929001348 + ... + 58929003644.

It is an arithmetic number, because the mean of its divisors is an integer number (329360850000).

Almost surely, 2^{135359918733312} is an apocalyptic number.

135359918733312 is a gapful number since it is divisible by the number (12) 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 135359918733312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252949132800000).

135359918733312 is an abundant number, since it is smaller than the sum of its proper divisors (370538346866688).

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

135359918733312 is a wasteful number, since it uses less digits than its factorization.

135359918733312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2561 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 135359918733312 in words is "one hundred thirty-five trillion, three hundred fifty-nine billion, nine hundred eighteen million, seven hundred thirty-three thousand, three hundred twelve".