134444223131040 has 480 divisors, whose sum is σ = 486119755875600. Its totient is φ = 34972242739200.

The previous prime is 134444223131027. The next prime is 134444223131063. The reversal of 134444223131040 is 40131322444431.

134444223131040 is a `hidden beast` number, since 1 + 3 + 44 + 44 + 223 + 1 + 310 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27873204722064 + 106571018408976 = 5279508^2 + 10323324^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×134444223131040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134444223130986 and 134444223131004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4808262660 + ... + 4808290620.

Almost surely, 2^{134444223131040} is an apocalyptic number.

134444223131040 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 134444223131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243059877937800).

134444223131040 is an abundant number, since it is smaller than the sum of its proper divisors (351675532744560).

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

134444223131040 is a wasteful number, since it uses less digits than its factorization.

134444223131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37078 (or 37061 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134444223131040 its reverse (40131322444431), we get a palindrome (174575545575471).

The spelling of 134444223131040 in words is "one hundred thirty-four trillion, four hundred forty-four billion, two hundred twenty-three million, one hundred thirty-one thousand, forty".