134301304000000 has 560 divisors, whose sum is σ = 341360500529664. Its totient is φ = 52777036800000.

The previous prime is 134301303999937. The next prime is 134301304000027. The reversal of 134301304000000 is 403103431.

It is a super-2 number, since 2×134301304000000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 148071999547 + ... + 148072000453.

Almost surely, 2^{134301304000000} is an apocalyptic number.

134301304000000 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 134301304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170680250264832).

134301304000000 is an abundant number, since it is smaller than the sum of its proper divisors (207059196529664).

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

134301304000000 is an frugal number, since it uses more digits than its factorization.

134301304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 134301304000000 its reverse (403103431), we get a palindrome (134301707103431).

The spelling of 134301304000000 in words is "one hundred thirty-four trillion, three hundred one billion, three hundred four million", and thus it is an aban number.