134353401220800 has 2016 divisors, whose sum is σ = 517122997248000. Its totient is φ = 32984970854400.

The previous prime is 134353401220789. The next prime is 134353401220807. The reversal of 134353401220800 is 8022104353431.

134353401220800 is a `hidden beast` number, since 1 + 3 + 4 + 353 + 4 + 0 + 1 + 220 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134353401220807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 586696075086 + ... + 586696075314.

Almost surely, 2^{134353401220800} is an apocalyptic number.

134353401220800 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 134353401220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258561498624000).

134353401220800 is an abundant number, since it is smaller than the sum of its proper divisors (382769596027200).

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

134353401220800 is a wasteful number, since it uses less digits than its factorization.

134353401220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 134353401220800 in words is "one hundred thirty-four trillion, three hundred fifty-three billion, four hundred one million, two hundred twenty thousand, eight hundred".