134321516904960 has 4800 divisors, whose sum is σ = 628845700120704. Its totient is φ = 27088846848000.

The previous prime is 134321516904881. The next prime is 134321516904977. The reversal of 134321516904960 is 69409615123431.

134321516904960 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 21 + 516 + 9 + 0 + 49 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134321516904897 and 134321516904906.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 824058385839 + ... + 824058386001.

Almost surely, 2^{134321516904960} is an apocalyptic number.

134321516904960 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 134321516904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314422850060352).

134321516904960 is an abundant number, since it is smaller than the sum of its proper divisors (494524183215744).

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

134321516904960 is a wasteful number, since it uses less digits than its factorization.

134321516904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 134321516904960 in words is "one hundred thirty-four trillion, three hundred twenty-one billion, five hundred sixteen million, nine hundred four thousand, nine hundred sixty".