134501681600 has 672 divisors, whose sum is σ = 413358543360. Its totient is φ = 42375168000.

The previous prime is 134501681599. The next prime is 134501681627. The reversal of 134501681600 is 6186105431.

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, 321006191 + ... + 321006609.

It is an arithmetic number, because the mean of its divisors is an integer number (615116880).

Almost surely, 2^134501681600 is an apocalyptic number.

134501681600 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 134501681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206679271680).

134501681600 is an abundant number, since it is smaller than the sum of its proper divisors (278856861760).

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

134501681600 is a wasteful number, since it uses less digits than its factorization.

134501681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 134501681600 in words is "one hundred thirty-four billion, five hundred one million, six hundred eighty-one thousand, six hundred".