134334435644112 has 240 divisors, whose sum is σ = 383182555996800. Its totient is φ = 40522598645760.

The previous prime is 134334435644099. The next prime is 134334435644179. The reversal of 134334435644112 is 211446534433431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129114453 + ... + 1129233419.

It is an arithmetic number, because the mean of its divisors is an integer number (1596593983320).

Almost surely, 2^{134334435644112} is an apocalyptic number.

134334435644112 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 134334435644112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191591277998400).

134334435644112 is an abundant number, since it is smaller than the sum of its proper divisors (248848120352688).

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

134334435644112 is a wasteful number, since it uses less digits than its factorization.

134334435644112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119882 (or 119865 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 48.

The spelling of 134334435644112 in words is "one hundred thirty-four trillion, three hundred thirty-four billion, four hundred thirty-five million, six hundred forty-four thousand, one hundred twelve".