154509216 has 192 divisors, whose sum is σ = 464486400. Its totient is φ = 44706816.

The previous prime is 154509161. The next prime is 154509217. The reversal of 154509216 is 612905451.

154509216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (154509217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216545 + ... + 1216671.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^154509216 is an apocalyptic number.

154509216 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 154509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

154509216 is an abundant number, since it is smaller than the sum of its proper divisors (309977184).

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

154509216 is a wasteful number, since it uses less digits than its factorization.

154509216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 154509216 is about 12430.1736110161. The cubic root of 154509216 is about 536.6009818061.

The spelling of 154509216 in words is "one hundred fifty-four million, five hundred nine thousand, two hundred sixteen".