144636720 has 80 divisors (see below), whose sum is σ = 452804352. Its totient is φ = 38188800.

The previous prime is 144636703. The next prime is 144636733. The reversal of 144636720 is 27636441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 21795 + ... + 27645.

Almost surely, 2^144636720 is an apocalyptic number.

144636720 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 144636720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

144636720 is an abundant number, since it is smaller than the sum of its proper divisors (308167632).

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

144636720 is a wasteful number, since it uses less digits than its factorization.

144636720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 144636720 is about 12026.5007379537. The cubic root of 144636720 is about 524.9196793222.

The spelling of 144636720 in words is "one hundred forty-four million, six hundred thirty-six thousand, seven hundred twenty".