153216 has 96 divisors (see below), whose sum is σ = 530400. Its totient is φ = 41472.

The previous prime is 153191. The next prime is 153247. The reversal of 153216 is 612351.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

153216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8055 + ... + 8073.

It is an arithmetic number, because the mean of its divisors is an integer number (5525).

2¹⁵³²¹⁶ is an apocalyptic number.

153216 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 153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265200).

153216 is an abundant number, since it is smaller than the sum of its proper divisors (377184).

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

153216 is a wasteful number, since it uses less digits than its factorization.

153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 31 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 153216 is about 391.4281543272. The cubic root of 153216 is about 53.5099699008.

Adding to 153216 its reverse (612351), we get a palindrome (765567).

The spelling of 153216 in words is "one hundred fifty-three thousand, two hundred sixteen".