134349020282880 has 2880 divisors, whose sum is σ = 549971226255360. Its totient is φ = 30050560770048.

The previous prime is 134349020282879. The next prime is 134349020282927. The reversal of 134349020282880 is 88282020943431.

134349020282880 is a `hidden beast` number, since 1 + 3 + 434 + 90 + 2 + 0 + 28 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 855726243762 + ... + 855726243918.

Almost surely, 2^{134349020282880} is an apocalyptic number.

134349020282880 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 134349020282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274985613127680).

134349020282880 is an abundant number, since it is smaller than the sum of its proper divisors (415622205972480).

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

134349020282880 is a wasteful number, since it uses less digits than its factorization.

134349020282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 134349020282880 in words is "one hundred thirty-four trillion, three hundred forty-nine billion, twenty million, two hundred eighty-two thousand, eight hundred eighty".