144119135160 has 2304 divisors, whose sum is σ = 702709862400. Its totient is φ = 25082265600.

The previous prime is 144119135143. The next prime is 144119135183. The reversal of 144119135160 is 61531911441.

It is a happy number.

144119135160 is a `hidden beast` number, since 1 + 44 + 11 + 91 + 3 + 516 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 1485764232 + ... + 1485764328.

It is an arithmetic number, because the mean of its divisors is an integer number (304995600).

Almost surely, 2^144119135160 is an apocalyptic number.

144119135160 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 144119135160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351354931200).

144119135160 is an abundant number, since it is smaller than the sum of its proper divisors (558590727240).

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

144119135160 is a wasteful number, since it uses less digits than its factorization.

144119135160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 144119135160 in words is "one hundred forty-four billion, one hundred nineteen million, one hundred thirty-five thousand, one hundred sixty".