144692016 has 80 divisors (see below), whose sum is σ = 428805888. Its totient is φ = 41184000.

The previous prime is 144691999. The next prime is 144692021. The reversal of 144692016 is 610296441.

144692016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110566 + ... + 111866.

Almost surely, 2^144692016 is an apocalyptic number.

144692016 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 144692016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214402944).

144692016 is an abundant number, since it is smaller than the sum of its proper divisors (284113872).

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

144692016 is a wasteful number, since it uses less digits than its factorization.

144692016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 144692016 is about 12028.7994413408. The cubic root of 144692016 is about 524.9865647355.

The spelling of 144692016 in words is "one hundred forty-four million, six hundred ninety-two thousand, sixteen".