134829215664 has 160 divisors (see below), whose sum is σ = 409398796800. Its totient is φ = 37696327680.

The previous prime is 134829215659. The next prime is 134829215669. The reversal of 134829215664 is 466512928431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134829215659) and next prime (134829215669).

It is not an unprimeable number, because it can be changed into a prime (134829215669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21199717 + ... + 21206075.

It is an arithmetic number, because the mean of its divisors is an integer number (2558742480).

Almost surely, 2^134829215664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134829215664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204699398400).

134829215664 is an abundant number, since it is smaller than the sum of its proper divisors (274569581136).

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

134829215664 is a wasteful number, since it uses less digits than its factorization.

134829215664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9477 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 134829215664 in words is "one hundred thirty-four billion, eight hundred twenty-nine million, two hundred fifteen thousand, six hundred sixty-four".