10142132 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 3409920.

The previous prime is 10142131. The next prime is 10142147. The reversal of 10142132 is 23124101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67994 + ... + 68142.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^10142132 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 10142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

10142132 is an abundant number, since it is smaller than the sum of its proper divisors (15259468).

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

10142132 is a wasteful number, since it uses less digits than its factorization.

10142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10142132 is about 3184.6714116216. The cubic root of 10142132 is about 216.4593846654.

Adding to 10142132 its reverse (23124101), we get a palindrome (33266233).

The spelling of 10142132 in words is "ten million, one hundred forty-two thousand, one hundred thirty-two".