134404016947200 has 8640 divisors, whose sum is σ = 715585479598080. Its totient is φ = 24078974976000.

The previous prime is 134404016947177. The next prime is 134404016947441. The reversal of 134404016947200 is 2749610404431.

134404016947200 is a `hidden beast` number, since 1 + 3 + 440 + 4 + 0 + 169 + 47 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1893014323165 + ... + 1893014323235.

It is an arithmetic number, because the mean of its divisors is an integer number (82822393472).

Almost surely, 2^{134404016947200} is an apocalyptic number.

134404016947200 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 134404016947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357792739799040).

134404016947200 is an abundant number, since it is smaller than the sum of its proper divisors (581181462650880).

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

134404016947200 is a wasteful number, since it uses less digits than its factorization.

134404016947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 134404016947200 in words is "one hundred thirty-four trillion, four hundred four billion, sixteen million, nine hundred forty-seven thousand, two hundred".