134401302000 has 320 divisors, whose sum is σ = 550236211200. Its totient is φ = 30720211200.

The previous prime is 134401301981. The next prime is 134401302029. The reversal of 134401302000 is 203104431.

134401302000 is a `hidden beast` number, since 1 + 34 + 401 + 30 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200221 + ... + 555779.

It is an arithmetic number, because the mean of its divisors is an integer number (1719488160).

Almost surely, 2^134401302000 is an apocalyptic number.

134401302000 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 134401302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275118105600).

134401302000 is an abundant number, since it is smaller than the sum of its proper divisors (415834909200).

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

134401302000 is a wasteful number, since it uses less digits than its factorization.

134401302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355598 (or 355576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 134401302000 its reverse (203104431), we get a palindrome (134604406431).

The spelling of 134401302000 in words is "one hundred thirty-four billion, four hundred one million, three hundred two thousand".