134200768896 has 160 divisors (see below), whose sum is σ = 410174521680. Its totient is φ = 43524449280.

The previous prime is 134200768873. The next prime is 134200768901. The reversal of 134200768896 is 698867002431.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 208701 + ... + 558531.

Almost surely, 2^134200768896 is an apocalyptic number.

134200768896 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 134200768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205087260840).

134200768896 is an abundant number, since it is smaller than the sum of its proper divisors (275973752784).

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

134200768896 is an equidigital number, since it uses as much as digits as its factorization.

134200768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349894 (or 349873 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 134200768896 in words is "one hundred thirty-four billion, two hundred million, seven hundred sixty-eight thousand, eight hundred ninety-six".