134112032100 has 180 divisors, whose sum is σ = 442942251444. Its totient is φ = 35088318720.

The previous prime is 134112032069. The next prime is 134112032113. The reversal of 134112032100 is 1230211431.

134112032100 is a `hidden beast` number, since 1 + 341 + 1 + 2 + 0 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54997056 + 134057035044 = 7416^2 + 366138^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273102 + ... + 585498.

Almost surely, 2^134112032100 is an apocalyptic number.

134112032100 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 134112032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221471125722).

134112032100 is an abundant number, since it is smaller than the sum of its proper divisors (308830219344).

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

134112032100 is a wasteful number, since it uses less digits than its factorization.

134112032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312476 (or 312460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 134112032100 its reverse (1230211431), we get a palindrome (135342243531).

The spelling of 134112032100 in words is "one hundred thirty-four billion, one hundred twelve million, thirty-two thousand, one hundred".