134311222116764 has 192 divisors, whose sum is σ = 313583338414080. Its totient is φ = 48758954400000.

The previous prime is 134311222116763. The next prime is 134311222116779. The reversal of 134311222116764 is 467611222113431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134311222116763) 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 63 ways as a sum of consecutive naturals, for example, 88496399 + ... + 90001305.

It is an arithmetic number, because the mean of its divisors is an integer number (1633246554240).

Almost surely, 2^{134311222116764} is an apocalyptic number.

134311222116764 is a gapful number since it is divisible by the number (14) 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 134311222116764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156791669207040).

134311222116764 is an abundant number, since it is smaller than the sum of its proper divisors (179272116297316).

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

134311222116764 is a wasteful number, since it uses less digits than its factorization.

134311222116764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505200 (or 1505198 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The spelling of 134311222116764 in words is "one hundred thirty-four trillion, three hundred eleven billion, two hundred twenty-two million, one hundred sixteen thousand, seven hundred sixty-four".