144100197360 has 480 divisors, whose sum is σ = 568047392640. Its totient is φ = 32049561600.

The previous prime is 144100197343. The next prime is 144100197377. The reversal of 144100197360 is 63791001441.

144100197360 is a `hidden beast` number, since 1 + 4 + 4 + 100 + 197 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (144100197343) and next prime (144100197377).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111791596 + ... + 111792884.

It is an arithmetic number, because the mean of its divisors is an integer number (1183432068).

Almost surely, 2^144100197360 is an apocalyptic number.

144100197360 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 144100197360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284023696320).

144100197360 is an abundant number, since it is smaller than the sum of its proper divisors (423947195280).

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

144100197360 is a wasteful number, since it uses less digits than its factorization.

144100197360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 144100197360 in words is "one hundred forty-four billion, one hundred million, one hundred ninety-seven thousand, three hundred sixty".