75153 has 16 divisors (see below), whose sum is σ = 112896. Its totient is φ = 44160.

The previous prime is 75149. The next prime is 75161. The reversal of 75153 is 35157.

It is a happy number.

It is not a de Polignac number, because 75153 - 2^{2} = 75149 is a prime.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 75153.

It is not an unprimeable number, because it can be changed into a prime (75133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2^{75153} is an apocalyptic number.

It is an amenable number.

75153 is a deficient number, since it is larger than the sum of its proper divisors (37743).

75153 is a wasteful number, since it uses less digits than its factorization.

75153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 525, while the sum is 21.

The square root of 75153 is about 274.1404749394. The cubic root of 75153 is about 42.2002904976.

The spelling of 75153 in words is "seventy-five thousand, one hundred fifty-three".

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