134253063974400 has 480 divisors, whose sum is σ = 506929128625920. Its totient is φ = 30681821675520.

The previous prime is 134253063974399. The next prime is 134253063974401. The reversal of 134253063974400 is 4479360352431.

It is an interprime number because it is at equal distance from previous prime (134253063974399) and next prime (134253063974401).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134253063974401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1993655931 + ... + 1993723269.

It is an arithmetic number, because the mean of its divisors is an integer number (1056102351304).

Almost surely, 2^{134253063974400} is an apocalyptic number.

134253063974400 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 134253063974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253464564312960).

134253063974400 is an abundant number, since it is smaller than the sum of its proper divisors (372676064651520).

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

134253063974400 is an equidigital number, since it uses as much as digits as its factorization.

134253063974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74794 (or 74773 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 134253063974400 in words is "one hundred thirty-four trillion, two hundred fifty-three billion, sixty-three million, nine hundred seventy-four thousand, four hundred".