134276929695216 has 4320 divisors, whose sum is σ = 561716147865600. Its totient is φ = 29613794918400.

The previous prime is 134276929695179. The next prime is 134276929695221. The reversal of 134276929695216 is 612596929672431.

It is a happy number.

134276929695216 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 7 + 6 + 9 + 2 + 96 + 9 + 521 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 966021076875 + ... + 966021077013.

It is an arithmetic number, because the mean of its divisors is an integer number (130026886080).

Almost surely, 2^{134276929695216} is an apocalyptic number.

134276929695216 is a gapful number since it is divisible by the number (16) 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 134276929695216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280858073932800).

134276929695216 is an abundant number, since it is smaller than the sum of its proper divisors (427439218170384).

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

134276929695216 is a wasteful number, since it uses less digits than its factorization.

134276929695216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 342 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 134276929695216 in words is "one hundred thirty-four trillion, two hundred seventy-six billion, nine hundred twenty-nine million, six hundred ninety-five thousand, two hundred sixteen".