134563104000 has 864 divisors, whose sum is σ = 527406157824. Its totient is φ = 32746291200.

The previous prime is 134563103999. The next prime is 134563104017. The reversal of 134563104000 is 401365431.

134563104000 is a `hidden beast` number, since 1 + 345 + 6 + 310 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×134563104000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475487859 + ... + 475488141.

Almost surely, 2^134563104000 is an apocalyptic number.

134563104000 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 134563104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263703078912).

134563104000 is an abundant number, since it is smaller than the sum of its proper divisors (392843053824).

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

134563104000 is a wasteful number, since it uses less digits than its factorization.

134563104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 134563104000 its reverse (401365431), we get a palindrome (134964469431).

The spelling of 134563104000 in words is "one hundred thirty-four billion, five hundred sixty-three million, one hundred four thousand".