• 153 can be written using four 4's:

See also 113.

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153 has 6 divisors (see below), whose sum is σ = 234. Its totient is φ = 96.

The previous prime is 151. The next prime is 157. The reversal of 153 is 351.

153 is nontrivially palindromic in base 2 and base 16.

153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

153 is an esthetic number in base 4 and base 13, because in such bases its adjacent digits differ by 1.

153 is a nontrivial binomial coefficient, being equal to C(18, 2).

It can be written as a sum of positive squares in only one way, i.e., 144 + 9 = 12^2 + 3^2 .

It is not a de Polignac number, because 153 - 2¹ = 151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 17 = 153 / (1 + 5 + 3).

It is a d-powerful number, because it can be written as 1 + 5³ + 3³ .

153 is an undulating number in base 4.

It is a Curzon number.

153 is a nontrivial repdigit in base 16.

It is a plaindrome in base 11, base 14 and base 16.

It is a nialpdrome in base 13, base 15 and base 16.

It is a zygodrome in base 16.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1 + ... + 17.

It is an arithmetic number, because the mean of its divisors is an integer number (39).

153 is a Friedman number, since it can be written as 51*3, using all its digits and the basic arithmetic operations.

It is a narcissistic number, because it is equal to 1³ + 5³ + 3³.

153 is the 17-th triangular number and also the 9-th hexagonal number.

It is an amenable number.

153 is a deficient number, since it is larger than the sum of its proper divisors (81).

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

With its successor (154) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (20).

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

The sum of its prime factors is 23 (or 20 counting only the distinct ones).

The product of its digits is 15, while the sum is 9.

The square root of 153 is about 12.3693168769. The cubic root of 153 is about 5.3484812412.

It can be divided in two parts, 15 and 3, that multiplied together give a triangular number (45 = T₉).

The spelling of 153 in words is "one hundred fifty-three", and thus it is an aban number.