134222144100 has 288 divisors, whose sum is σ = 434672179200. Its totient is φ = 31698931200.

The previous prime is 134222144099. The next prime is 134222144101. The reversal of 134222144100 is 1441222431.

It is an interprime number because it is at equal distance from previous prime (134222144099) and next prime (134222144101).

It is not an unprimeable number, because it can be changed into a prime (134222144101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35516011 + ... + 35519789.

It is an arithmetic number, because the mean of its divisors is an integer number (1509278400).

Almost surely, 2^134222144100 is an apocalyptic number.

134222144100 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 134222144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217336089600).

134222144100 is an abundant number, since it is smaller than the sum of its proper divisors (300450035100).

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

134222144100 is a wasteful number, since it uses less digits than its factorization.

134222144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 134222144100 its reverse (1441222431), we get a palindrome (135663366531).

The spelling of 134222144100 in words is "one hundred thirty-four billion, two hundred twenty-two million, one hundred forty-four thousand, one hundred".