10152144 has 30 divisors (see below), whose sum is σ = 28412306. Its totient is φ = 3384000.

The previous prime is 10152139. The next prime is 10152173. The reversal of 10152144 is 44125101.

10152144 is a `hidden beast` number, since 101 + 521 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9363600 + 788544 = 3060^2 + 888^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 35107 + ... + 35394.

Almost surely, 2^10152144 is an apocalyptic number.

It is an amenable number.

10152144 is an abundant number, since it is smaller than the sum of its proper divisors (18260162).

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

10152144 is a wasteful number, since it uses less digits than its factorization.

10152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70515 (or 70506 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10152144 is about 3186.2429285916. The cubic root of 10152144 is about 216.5305885839.

Adding to 10152144 its reverse (44125101), we get a palindrome (54277245).

It can be divided in two parts, 10152 and 144, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10152144 in words is "ten million, one hundred fifty-two thousand, one hundred forty-four".