134400024 has 72 divisors (see below), whose sum is σ = 400125180. Its totient is φ = 40724640.

The previous prime is 134400001. The next prime is 134400029. The reversal of 134400024 is 420004431.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134400029) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 999 + ... + 16425.

Almost surely, 2^134400024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200062590).

134400024 is an abundant number, since it is smaller than the sum of its proper divisors (265725156).

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

134400024 is a wasteful number, since it uses less digits than its factorization.

134400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15461 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134400024 is about 11593.1024320498. The cubic root of 134400024 is about 512.2316964850.

Adding to 134400024 its reverse (420004431), we get a palindrome (554404455).

The spelling of 134400024 in words is "one hundred thirty-four million, four hundred thousand, twenty-four".