134440101312 has 224 divisors, whose sum is σ = 401025993984. Its totient is φ = 39395328000.

The previous prime is 134440101311. The next prime is 134440101317. The reversal of 134440101312 is 213101044431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134440101311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9165088 + ... + 9179744.

It is an arithmetic number, because the mean of its divisors is an integer number (1790294616).

Almost surely, 2^134440101312 is an apocalyptic number.

134440101312 is a gapful number since it is divisible by the number (12) 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 134440101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200512996992).

134440101312 is an abundant number, since it is smaller than the sum of its proper divisors (266585892672).

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

134440101312 is a wasteful number, since it uses less digits than its factorization.

134440101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14827 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 134440101312 its reverse (213101044431), we get a palindrome (347541145743).

The spelling of 134440101312 in words is "one hundred thirty-four billion, four hundred forty million, one hundred one thousand, three hundred twelve".