144166920 has 64 divisors (see below), whose sum is σ = 438618240. Its totient is φ = 37900800.

The previous prime is 144166909. The next prime is 144166931. The reversal of 144166920 is 29661441.

It is an interprime number because it is at equal distance from previous prime (144166909) and next prime (144166931).

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, 60 + ... + 16980.

It is an arithmetic number, because the mean of its divisors is an integer number (6853410).

Almost surely, 2^144166920 is an apocalyptic number.

144166920 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 144166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219309120).

144166920 is an abundant number, since it is smaller than the sum of its proper divisors (294451320).

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

144166920 is a wasteful number, since it uses less digits than its factorization.

144166920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17006 (or 17002 counting only the distinct ones).

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

The square root of 144166920 is about 12006.9529856663. The cubic root of 144166920 is about 524.3507257098.

The spelling of 144166920 in words is "one hundred forty-four million, one hundred sixty-six thousand, nine hundred twenty".