144156960 has 72 divisors (see below), whose sum is σ = 491940540. Its totient is φ = 38441472.

The previous prime is 144156953. The next prime is 144156983. The reversal of 144156960 is 69651441.

It can be written as a sum of positive squares in 2 ways, for example, as 129686544 + 14470416 = 11388^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48615 + ... + 51494.

Almost surely, 2^144156960 is an apocalyptic number.

144156960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144156960 is an abundant number, since it is smaller than the sum of its proper divisors (347783580).

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

144156960 is a wasteful number, since it uses less digits than its factorization.

144156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100130 (or 100119 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 144156960 is about 12006.5382188206. The cubic root of 144156960 is about 524.3386502316.

The spelling of 144156960 in words is "one hundred forty-four million, one hundred fifty-six thousand, nine hundred sixty".