153369216 has 576 divisors, whose sum is σ = 634888800. Its totient is φ = 34836480.

The previous prime is 153369211. The next prime is 153369217. The reversal of 153369216 is 612963351.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153369211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8072055 + ... + 8072073.

Almost surely, 2^153369216 is an apocalyptic number.

153369216 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 153369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317444400).

153369216 is an abundant number, since it is smaller than the sum of its proper divisors (481519584).

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

153369216 is a wasteful number, since it uses less digits than its factorization.

153369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 153369216 is about 12384.2325559560. The cubic root of 153369216 is about 535.2780061516.

The spelling of 153369216 in words is "one hundred fifty-three million, three hundred sixty-nine thousand, two hundred sixteen".