134030131200 has 1152 divisors, whose sum is σ = 570469068000. Its totient is φ = 30057431040.

The previous prime is 134030131199. The next prime is 134030131211. The reversal of 134030131200 is 2131030431.

134030131200 is a `hidden beast` number, since 1 + 340 + 301 + 3 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2528870374 + ... + 2528870426.

Almost surely, 2^134030131200 is an apocalyptic number.

134030131200 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 134030131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285234534000).

134030131200 is an abundant number, since it is smaller than the sum of its proper divisors (436438936800).

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

134030131200 is an frugal number, since it uses more digits than its factorization.

134030131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 134030131200 its reverse (2131030431), we get a palindrome (136161161631).

The spelling of 134030131200 in words is "one hundred thirty-four billion, thirty million, one hundred thirty-one thousand, two hundred".