134348173920 has 288 divisors, whose sum is σ = 488252917152. Its totient is φ = 33522794496.

The previous prime is 134348173901. The next prime is 134348173933. The reversal of 134348173920 is 29371843431.

134348173920 is a `hidden beast` number, since 13 + 4 + 3 + 481 + 73 + 92 + 0 = 666.

134348173920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4219179 + ... + 4250901.

It is an arithmetic number, because the mean of its divisors is an integer number (1695322629).

Almost surely, 2^134348173920 is an apocalyptic number.

134348173920 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 134348173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244126458576).

134348173920 is an abundant number, since it is smaller than the sum of its proper divisors (353904743232).

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

134348173920 is a wasteful number, since it uses less digits than its factorization.

134348173920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31934 (or 31923 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134348173920 in words is "one hundred thirty-four billion, three hundred forty-eight million, one hundred seventy-three thousand, nine hundred twenty".