135134511414 has 64 divisors (see below), whose sum is σ = 325679616000. Its totient is φ = 36516568608.

The previous prime is 135134511403. The next prime is 135134511427. The reversal of 135134511414 is 414115431531.

It is a super-2 number, since 2×135134511414² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 336649 + ... + 619355.

It is an arithmetic number, because the mean of its divisors is an integer number (5088744000).

Almost surely, 2^135134511414 is an apocalyptic number.

135134511414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135134511414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162839808000).

135134511414 is an abundant number, since it is smaller than the sum of its proper divisors (190545104586).

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

135134511414 is a wasteful number, since it uses less digits than its factorization.

135134511414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283337.

The product of its digits is 14400, while the sum is 33.

Adding to 135134511414 its reverse (414115431531), we get a palindrome (549249942945).

The spelling of 135134511414 in words is "one hundred thirty-five billion, one hundred thirty-four million, five hundred eleven thousand, four hundred fourteen".