153117216 has 288 divisors, whose sum is σ = 539360640. Its totient is φ = 41803776.

The previous prime is 153117203. The next prime is 153117227. The reversal of 153117216 is 612711351.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 153117216.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1578480 + ... + 1578576.

It is an arithmetic number, because the mean of its divisors is an integer number (1872780).

Almost surely, 2^153117216 is an apocalyptic number.

153117216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269680320).

153117216 is an abundant number, since it is smaller than the sum of its proper divisors (386243424).

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

153117216 is an equidigital number, since it uses as much as digits as its factorization.

153117216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 153117216 is about 12374.0541456711. The cubic root of 153117216 is about 534.9846747874.

Adding to 153117216 its reverse (612711351), we get a palindrome (765828567).

The spelling of 153117216 in words is "one hundred fifty-three million, one hundred seventeen thousand, two hundred sixteen".