134824824 has 80 divisors (see below), whose sum is σ = 399880800. Its totient is φ = 42294528.

The previous prime is 134824813. The next prime is 134824843. The reversal of 134824824 is 428428431.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4897 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (4998510).

Almost surely, 2^134824824 is an apocalyptic number.

134824824 is the 7344-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134824824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199940400).

134824824 is an abundant number, since it is smaller than the sum of its proper divisors (265055976).

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

134824824 is a wasteful number, since it uses less digits than its factorization.

134824824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12261 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 134824824 is about 11611.4092168005. The cubic root of 134824824 is about 512.7708014816.

The spelling of 134824824 in words is "one hundred thirty-four million, eight hundred twenty-four thousand, eight hundred twenty-four".