134773970679264 has 576 divisors, whose sum is σ = 458907957527040. Its totient is φ = 34317555793920.

The previous prime is 134773970679259. The next prime is 134773970679269. The reversal of 134773970679264 is 462976079377431.

It is an interprime number because it is at equal distance from previous prime (134773970679259) and next prime (134773970679269).

It is a super-2 number, since 2×134773970679264² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134773970679269) 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 95 ways as a sum of consecutive naturals, for example, 3283385589 + ... + 3283426635.

It is an arithmetic number, because the mean of its divisors is an integer number (796715204040).

Almost surely, 2^{134773970679264} is an apocalyptic number.

134773970679264 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 134773970679264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229453978763520).

134773970679264 is an abundant number, since it is smaller than the sum of its proper divisors (324133986847776).

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

134773970679264 is a wasteful number, since it uses less digits than its factorization.

134773970679264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43271 (or 43256 counting only the distinct ones).

The product of its (nonzero) digits is 2016379008, while the sum is 75.

The spelling of 134773970679264 in words is "one hundred thirty-four trillion, seven hundred seventy-three billion, nine hundred seventy million, six hundred seventy-nine thousand, two hundred sixty-four".