134797824 has 240 divisors, whose sum is σ = 466488000. Its totient is φ = 38320128.

The previous prime is 134797787. The next prime is 134797849. The reversal of 134797824 is 428797431.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134797824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677277 + ... + 677475.

It is an arithmetic number, because the mean of its divisors is an integer number (1943700).

Almost surely, 2^134797824 is an apocalyptic number.

134797824 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 134797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233244000).

134797824 is an abundant number, since it is smaller than the sum of its proper divisors (331690176).

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

134797824 is an equidigital number, since it uses as much as digits as its factorization.

134797824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 134797824 is about 11610.2465090109. The cubic root of 134797824 is about 512.7365700606.

The spelling of 134797824 in words is "one hundred thirty-four million, seven hundred ninety-seven thousand, eight hundred twenty-four".