134334304456000 has 224 divisors, whose sum is σ = 371362509048960. Its totient is φ = 47712817152000.

The previous prime is 134334304455983. The next prime is 134334304456003. The reversal of 134334304456000 is 654403433431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134334304456003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13966305 + ... + 21534304.

Almost surely, 2^{134334304456000} is an apocalyptic number.

134334304456000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134334304456000 is an abundant number, since it is smaller than the sum of its proper divisors (237028204592960).

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

134334304456000 is a wasteful number, since it uses less digits than its factorization.

134334304456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35500690 (or 35500670 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

Adding to 134334304456000 its reverse (654403433431), we get a palindrome (134988707889431).

The spelling of 134334304456000 in words is "one hundred thirty-four trillion, three hundred thirty-four billion, three hundred four million, four hundred fifty-six thousand".