144521664 has 112 divisors (see below), whose sum is σ = 439692288. Its totient is φ = 41038848.

The previous prime is 144521651. The next prime is 144521693. The reversal of 144521664 is 466125441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×144521664² = 41773022730657792, which contains 22 as substring.

It is a congruent number.

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, 393609 + ... + 393975.

It is an arithmetic number, because the mean of its divisors is an integer number (3925824).

Almost surely, 2^144521664 is an apocalyptic number.

144521664 is a gapful number since it is divisible by the number (14) 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 144521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219846144).

144521664 is an abundant number, since it is smaller than the sum of its proper divisors (295170624).

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

144521664 is a wasteful number, since it uses less digits than its factorization.

144521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 144521664 is about 12021.7163500059. The cubic root of 144521664 is about 524.7804542344.

The spelling of 144521664 in words is "one hundred forty-four million, five hundred twenty-one thousand, six hundred sixty-four".