135112336320 has 672 divisors, whose sum is σ = 491184590400. Its totient is φ = 31428354048.

The previous prime is 135112336301. The next prime is 135112336417. The reversal of 135112336320 is 23633211531.

It is a super-2 number, since 2×135112336320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2874730537 + ... + 2874730583.

It is an arithmetic number, because the mean of its divisors is an integer number (730929450).

Almost surely, 2^135112336320 is an apocalyptic number.

135112336320 is a gapful number since it is divisible by the number (10) 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 135112336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245592295200).

135112336320 is an abundant number, since it is smaller than the sum of its proper divisors (356072254080).

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

135112336320 is an equidigital number, since it uses as much as digits as its factorization.

135112336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 135112336320 its reverse (23633211531), we get a palindrome (158745547851).

The spelling of 135112336320 in words is "one hundred thirty-five billion, one hundred twelve million, three hundred thirty-six thousand, three hundred twenty".