134328477433380 has 768 divisors, whose sum is σ = 432447521587200. Its totient is φ = 30951309312000.

The previous prime is 134328477433349. The next prime is 134328477433417. The reversal of 134328477433380 is 83334774823431.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144594700756 + ... + 144594701684.

It is an arithmetic number, because the mean of its divisors is an integer number (563082710400).

Almost surely, 2^{134328477433380} is an apocalyptic number.

134328477433380 is a gapful number since it is divisible by the number (10) 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 134328477433380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216223760793600).

134328477433380 is an abundant number, since it is smaller than the sum of its proper divisors (298119044153820).

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

134328477433380 is a wasteful number, since it uses less digits than its factorization.

134328477433380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 60.

The spelling of 134328477433380 in words is "one hundred thirty-four trillion, three hundred twenty-eight billion, four hundred seventy-seven million, four hundred thirty-three thousand, three hundred eighty".