134357379882880 has 768 divisors, whose sum is σ = 423335464796160. Its totient is φ = 39862056960000.

The previous prime is 134357379882833. The next prime is 134357379882881. The reversal of 134357379882880 is 88288973753431.

It is a junction number, because it is equal to n+sod(n) for n = 134357379882797 and 134357379882806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134357379882881) 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, 1025007745 + ... + 1025138815.

It is an arithmetic number, because the mean of its divisors is an integer number (551218053120).

Almost surely, 2^{134357379882880} is an apocalyptic number.

134357379882880 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 134357379882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211667732398080).

134357379882880 is an abundant number, since it is smaller than the sum of its proper divisors (288978084913280).

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

134357379882880 is a wasteful number, since it uses less digits than its factorization.

134357379882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131211 (or 131188 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 76.

The spelling of 134357379882880 in words is "one hundred thirty-four trillion, three hundred fifty-seven billion, three hundred seventy-nine million, eight hundred eighty-two thousand, eight hundred eighty".