134513255344000 has 512 divisors, whose sum is σ = 381468992486400. Its totient is φ = 46729691136000.

The previous prime is 134513255343923. The next prime is 134513255344009. The reversal of 134513255344000 is 443552315431.

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 (134513255344009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20476972716 + ... + 20476979284.

It is an arithmetic number, because the mean of its divisors is an integer number (745056625950).

Almost surely, 2^{134513255344000} is an apocalyptic number.

134513255344000 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 134513255344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190734496243200).

134513255344000 is an abundant number, since it is smaller than the sum of its proper divisors (246955737142400).

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

134513255344000 is a wasteful number, since it uses less digits than its factorization.

134513255344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12397 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 134513255344000 in words is "one hundred thirty-four trillion, five hundred thirteen billion, two hundred fifty-five million, three hundred forty-four thousand".