134026168320 has 768 divisors, whose sum is σ = 525334118400. Its totient is φ = 32142458880.

The previous prime is 134026168279. The next prime is 134026168327. The reversal of 134026168320 is 23861620431.

134026168320 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 616 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (134026168327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386242387 + ... + 386242733.

It is an arithmetic number, because the mean of its divisors is an integer number (684028800).

Almost surely, 2^134026168320 is an apocalyptic number.

134026168320 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 134026168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262667059200).

134026168320 is an abundant number, since it is smaller than the sum of its proper divisors (391307950080).

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

134026168320 is a wasteful number, since it uses less digits than its factorization.

134026168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 134026168320 its reverse (23861620431), we get a palindrome (157887788751).

The spelling of 134026168320 in words is "one hundred thirty-four billion, twenty-six million, one hundred sixty-eight thousand, three hundred twenty".