134677776431 has 128 divisors (see below), whose sum is σ = 172792922112. Its totient is φ = 103403520000.

The previous prime is 134677776403. The next prime is 134677776433.

It is a happy number.

134677776431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134677776431 - 2⁶ = 134677776367 is a prime.

It is a super-2 number, since 2×134677776431² (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 (134677776433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 983049395 + ... + 983049531.

It is an arithmetic number, because the mean of its divisors is an integer number (1349944704).

Almost surely, 2^134677776431 is an apocalyptic number.

134677776431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134677776431 is a deficient number, since it is larger than the sum of its proper divisors (38115145681).

134677776431 is a wasteful number, since it uses less digits than its factorization.

134677776431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its digits is 12446784, while the sum is 56.

It can be divided in two parts, 1346 and 77776431, that added together give a palindrome (77777777).

The spelling of 134677776431 in words is "one hundred thirty-four billion, six hundred seventy-seven million, seven hundred seventy-six thousand, four hundred thirty-one".