144197760 has 128 divisors (see below), whose sum is σ = 525340800. Its totient is φ = 32956416.

The previous prime is 144197759. The next prime is 144197761. The reversal of 144197760 is 67791441.

144197760 = T₂₈₅₃ + T₂₈₅₄ + ... + T₂₈₈₇.

It is an interprime number because it is at equal distance from previous prime (144197759) and next prime (144197761).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144197761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8076 + ... + 18804.

It is an arithmetic number, because the mean of its divisors is an integer number (4104225).

Almost surely, 2^144197760 is an apocalyptic number.

144197760 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 144197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262670400).

144197760 is an abundant number, since it is smaller than the sum of its proper divisors (381143040).

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

144197760 is a wasteful number, since it uses less digits than its factorization.

144197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 144197760 is about 12008.2371728743. The cubic root of 144197760 is about 524.3881125190.

The spelling of 144197760 in words is "one hundred forty-four million, one hundred ninety-seven thousand, seven hundred sixty".