134423130403800 has 2304 divisors, whose sum is σ = 588924706406400. Its totient is φ = 27783871948800.

The previous prime is 134423130403789. The next prime is 134423130403847. The reversal of 134423130403800 is 8304031324431.

134423130403800 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 231 + 3 + 0 + 40 + 380 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 130381309285 + ... + 130381310315.

It is an arithmetic number, because the mean of its divisors is an integer number (255609681600).

Almost surely, 2^{134423130403800} is an apocalyptic number.

134423130403800 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 134423130403800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294462353203200).

134423130403800 is an abundant number, since it is smaller than the sum of its proper divisors (454501576002600).

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

134423130403800 is a wasteful number, since it uses less digits than its factorization.

134423130403800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 134423130403800 in words is "one hundred thirty-four trillion, four hundred twenty-three billion, one hundred thirty million, four hundred three thousand, eight hundred".