10134144 has 96 divisors (see below), whose sum is σ = 30763200. Its totient is φ = 3193344.

The previous prime is 10134139. The next prime is 10134149. The reversal of 10134144 is 44143101.

It is an interprime number because it is at equal distance from previous prime (10134139) and next prime (10134149).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10134144² = 205401749225472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10134149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21657 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (320450).

Almost surely, 2^10134144 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 10134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381600).

10134144 is an abundant number, since it is smaller than the sum of its proper divisors (20629056).

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

10134144 is a wasteful number, since it uses less digits than its factorization.

10134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10134144 is about 3183.4170320585. The cubic root of 10134144 is about 216.4025415313.

Adding to 10134144 its reverse (44143101), we get a palindrome (54277245).

The spelling of 10134144 in words is "ten million, one hundred thirty-four thousand, one hundred forty-four".