163134513484800 has 4752 divisors, whose sum is σ = 697415599419840. Its totient is φ = 33277870080000.

The previous prime is 163134513484793. The next prime is 163134513484801. The reversal of 163134513484800 is 8484315431361.

It is a super-2 number, since 2×163134513484800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163134513484801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3978890572780 + ... + 3978890572820.

Almost surely, 2^{163134513484800} is an apocalyptic number.

163134513484800 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 163134513484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348707799709920).

163134513484800 is an abundant number, since it is smaller than the sum of its proper divisors (534281085935040).

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

163134513484800 is a wasteful number, since it uses less digits than its factorization.

163134513484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 163134513484800 in words is "one hundred sixty-three trillion, one hundred thirty-four billion, five hundred thirteen million, four hundred eighty-four thousand, eight hundred".