135211182912 has 336 divisors, whose sum is σ = 443418976000. Its totient is φ = 39047712768.

The previous prime is 135211182851. The next prime is 135211183033. The reversal of 135211182912 is 219281112531.

135211182912 is a `hidden beast` number, since 1 + 3 + 521 + 118 + 2 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15503289 + ... + 15512007.

Almost surely, 2^135211182912 is an apocalyptic number.

135211182912 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 135211182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221709488000).

135211182912 is an abundant number, since it is smaller than the sum of its proper divisors (308207793088).

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

135211182912 is a wasteful number, since it uses less digits than its factorization.

135211182912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8865 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The spelling of 135211182912 in words is "one hundred thirty-five billion, two hundred eleven million, one hundred eighty-two thousand, nine hundred twelve".