134204491584828 has 192 divisors, whose sum is σ = 411533071488000. Its totient is φ = 37005881004288.

The previous prime is 134204491584811. The next prime is 134204491584847. The reversal of 134204491584828 is 828485194402431.

134204491584828 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 4 + 49 + 1 + 584 + 8 + 2 + 8 = 666.

134204491584828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49296975 + ... + 51948057.

It is an arithmetic number, because the mean of its divisors is an integer number (2143401414000).

Almost surely, 2^{134204491584828} is an apocalyptic number.

134204491584828 is a gapful number since it is divisible by the number (18) 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 134204491584828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205766535744000).

134204491584828 is an abundant number, since it is smaller than the sum of its proper divisors (277328579903172).

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

134204491584828 is a wasteful number, since it uses less digits than its factorization.

134204491584828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653441 (or 2653433 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 134204491584828 in words is "one hundred thirty-four trillion, two hundred four billion, four hundred ninety-one million, five hundred eighty-four thousand, eight hundred twenty-eight".