134216179200 has 480 divisors, whose sum is σ = 498680582400. Its totient is φ = 35352207360.

The previous prime is 134216179159. The next prime is 134216179259. The reversal of 134216179200 is 2971612431.

134216179200 is a `hidden beast` number, since 1 + 34 + 2 + 1 + 617 + 9 + 2 + 0 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28682461 + ... + 28687139.

It is an arithmetic number, because the mean of its divisors is an integer number (1038917880).

Almost surely, 2^134216179200 is an apocalyptic number.

134216179200 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 134216179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249340291200).

134216179200 is an abundant number, since it is smaller than the sum of its proper divisors (364464403200).

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

134216179200 is an equidigital number, since it uses as much as digits as its factorization.

134216179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 134216179200 in words is "one hundred thirty-four billion, two hundred sixteen million, one hundred seventy-nine thousand, two hundred".