134382024 has 256 divisors, whose sum is σ = 457113600. Its totient is φ = 35769600.

The previous prime is 134381987. The next prime is 134382043. The reversal of 134382024 is 420283431.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 2202954 + ... + 2203014.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^134382024 is an apocalyptic number.

134382024 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 134382024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228556800).

134382024 is an abundant number, since it is smaller than the sum of its proper divisors (322731576).

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

134382024 is a wasteful number, since it uses less digits than its factorization.

134382024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134382024 is about 11592.3260823702. The cubic root of 134382024 is about 512.2088279817.

The spelling of 134382024 in words is "one hundred thirty-four million, three hundred eighty-two thousand, twenty-four".