135364431456 has 36 divisors (see below), whose sum is σ = 384942602772. Its totient is φ = 45121477056.

The previous prime is 135364431451. The next prime is 135364431457. The reversal of 135364431456 is 654134463531.

135364431456 is a `hidden beast` number, since 1 + 3 + 536 + 44 + 31 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×135364431456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135364431451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235007406 + ... + 235007981.

It is an arithmetic number, because the mean of its divisors is an integer number (10692850077).

Almost surely, 2^135364431456 is an apocalyptic number.

135364431456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135364431456 is an abundant number, since it is smaller than the sum of its proper divisors (249578171316).

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

135364431456 is a wasteful number, since it uses less digits than its factorization.

135364431456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470015403 (or 470015392 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

Adding to 135364431456 its reverse (654134463531), we get a palindrome (789498894987).

The spelling of 135364431456 in words is "one hundred thirty-five billion, three hundred sixty-four million, four hundred thirty-one thousand, four hundred fifty-six".