14400153 has 32 divisors (see below), whose sum is σ = 22550400. Its totient is φ = 9067968.

The previous prime is 14400137. The next prime is 14400187. The reversal of 14400153 is 35100441.

It is a happy number.

It is not a de Polignac number, because 14400153 - 2⁴ = 14400137 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14000153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41326 + ... + 41672.

It is an arithmetic number, because the mean of its divisors is an integer number (704700).

Almost surely, 2^14400153 is an apocalyptic number.

It is an amenable number.

14400153 is a deficient number, since it is larger than the sum of its proper divisors (8150247).

14400153 is a wasteful number, since it uses less digits than its factorization.

14400153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14400153 is about 3794.7533516686. The cubic root of 14400153 is about 243.2889414652.

Adding to 14400153 its reverse (35100441), we get a palindrome (49500594).

The spelling of 14400153 in words is "fourteen million, four hundred thousand, one hundred fifty-three".