10144032132 has 288 divisors, whose sum is σ = 28388828160. Its totient is φ = 2799256320.

The previous prime is 10144032127. The next prime is 10144032139. The reversal of 10144032132 is 23123044101.

It is a junction number, because it is equal to n+sod(n) for n = 10144032099 and 10144032108.

It is not an unprimeable number, because it can be changed into a prime (10144032139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142873657 + ... + 142873727.

It is an arithmetic number, because the mean of its divisors is an integer number (98572320).

Almost surely, 2^10144032132 is an apocalyptic number.

10144032132 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 10144032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194414080).

10144032132 is an abundant number, since it is smaller than the sum of its proper divisors (18244796028).

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

10144032132 is a wasteful number, since it uses less digits than its factorization.

10144032132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10144032132 its reverse (23123044101), we get a palindrome (33267076233).

The spelling of 10144032132 in words is "ten billion, one hundred forty-four million, thirty-two thousand, one hundred thirty-two".