134034165020340 has 144 divisors (see below), whose sum is σ = 437908000530000. Its totient is φ = 32988273352704.

The previous prime is 134034165020323. The next prime is 134034165020341. The reversal of 134034165020340 is 43020561430431.

134034165020340 is a `hidden beast` number, since 1 + 3 + 403 + 4 + 1 + 6 + 5 + 0 + 203 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 246911597604 + 133787253422736 = 496902^2 + 11566644^2 .

It is a super-2 number, since 2×134034165020340² (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 = 134034165020295 and 134034165020304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134034165020341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12139236 + ... + 20382084.

Almost surely, 2^{134034165020340} is an apocalyptic number.

134034165020340 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 134034165020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218954000265000).

134034165020340 is an abundant number, since it is smaller than the sum of its proper divisors (303873835509660).

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

134034165020340 is a wasteful number, since it uses less digits than its factorization.

134034165020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249826 (or 8249821 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 134034165020340 in words is "one hundred thirty-four trillion, thirty-four billion, one hundred sixty-five million, twenty thousand, three hundred forty".