144263680 has 160 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 50872320.

The previous prime is 144263671. The next prime is 144263681. The reversal of 144263680 is 86362441.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (144263681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323466 + ... + 1323574.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^144263680 is an apocalyptic number.

144263680 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 144263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

144263680 is an abundant number, since it is smaller than the sum of its proper divisors (244640000).

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

144263680 is a wasteful number, since it uses less digits than its factorization.

144263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 144263680 is about 12010.9816418143. The cubic root of 144263680 is about 524.4680083468.

The spelling of 144263680 in words is "one hundred forty-four million, two hundred sixty-three thousand, six hundred eighty".