10000134432 has 144 divisors (see below), whose sum is σ = 28956275712. Its totient is φ = 3273177600.

The previous prime is 10000134421. The next prime is 10000134497. The reversal of 10000134432 is 23443100001.

10000134432 is a `hidden beast` number, since 100 + 0 + 0 + 134 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3692823 + ... + 3695529.

It is an arithmetic number, because the mean of its divisors is an integer number (201085248).

Almost surely, 2^10000134432 is an apocalyptic number.

10000134432 is a gapful number since it is divisible by the number (12) 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 10000134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478137856).

10000134432 is an abundant number, since it is smaller than the sum of its proper divisors (18956141280).

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

10000134432 is a wasteful number, since it uses less digits than its factorization.

10000134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10000134432 its reverse (23443100001), we get a palindrome (33443234433).

The spelling of 10000134432 in words is "ten billion, one hundred thirty-four thousand, four hundred thirty-two".