134517364800 has 672 divisors, whose sum is σ = 545133775872. Its totient is φ = 28279480320.

The previous prime is 134517364781. The next prime is 134517364801. The reversal of 134517364800 is 8463715431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (134517364801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238929319 + ... + 238929881.

It is an arithmetic number, because the mean of its divisors is an integer number (811210976).

Almost surely, 2^134517364800 is an apocalyptic number.

134517364800 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 134517364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272566887936).

134517364800 is an abundant number, since it is smaller than the sum of its proper divisors (410616411072).

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

134517364800 is a wasteful number, since it uses less digits than its factorization.

134517364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 134517364800 in words is "one hundred thirty-four billion, five hundred seventeen million, three hundred sixty-four thousand, eight hundred".