134793120 has 288 divisors, whose sum is σ = 539856576. Its totient is φ = 27955200.

The previous prime is 134793107. The next prime is 134793121. The reversal of 134793120 is 21397431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134793121) 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, 258460 + ... + 258980.

It is an arithmetic number, because the mean of its divisors is an integer number (1874502).

Almost surely, 2^134793120 is an apocalyptic number.

134793120 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 134793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269928288).

134793120 is an abundant number, since it is smaller than the sum of its proper divisors (405063456).

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

134793120 is a wasteful number, since it uses less digits than its factorization.

134793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 134793120 is about 11610.0439275655. The cubic root of 134793120 is about 512.7306057189.

The spelling of 134793120 in words is "one hundred thirty-four million, seven hundred ninety-three thousand, one hundred twenty".