153216000 has 528 divisors, whose sum is σ = 664210560. Its totient is φ = 33177600.

The previous prime is 153215989. The next prime is 153216013. The reversal of 153216000 is 612351.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063991 + ... + 8064009.

Almost surely, 2^153216000 is an apocalyptic number.

153216000 is a gapful number since it is divisible by the number (10) 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 153216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332105280).

153216000 is an abundant number, since it is smaller than the sum of its proper divisors (510994560).

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

153216000 is a wasteful number, since it uses less digits than its factorization.

153216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

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

The square root of 153216000 is about 12378.0450798985. The cubic root of 153216000 is about 535.0996990078.

Adding to 153216000 its reverse (612351), we get a palindrome (153828351).

It can be divided in two parts, 15321 and 6000, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 153216000 in words is "one hundred fifty-three million, two hundred sixteen thousand".