134531430105044 has 192 divisors, whose sum is σ = 287282688000000. Its totient is φ = 53844481396224.

The previous prime is 134531430105001. The next prime is 134531430105073. The reversal of 134531430105044 is 440501034135431.

It is a super-2 number, since 2×134531430105044² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 134531430104989 and 134531430105007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38781038942 + ... + 38781042410.

It is an arithmetic number, because the mean of its divisors is an integer number (1496264000000).

Almost surely, 2^{134531430105044} is an apocalyptic number.

134531430105044 is a gapful number since it is divisible by the number (14) 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 134531430105044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143641344000000).

134531430105044 is an abundant number, since it is smaller than the sum of its proper divisors (152751257894956).

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

134531430105044 is a wasteful number, since it uses less digits than its factorization.

134531430105044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 134531430105044 in words is "one hundred thirty-four trillion, five hundred thirty-one billion, four hundred thirty million, one hundred five thousand, forty-four".