144134619120 has 240 divisors, whose sum is σ = 501474823200. Its totient is φ = 37056337920.

The previous prime is 144134619067. The next prime is 144134619163. The reversal of 144134619120 is 21916431441.

144134619120 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 34 + 619 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 15425650 + ... + 15434990.

It is an arithmetic number, because the mean of its divisors is an integer number (2089478430).

Almost surely, 2^144134619120 is an apocalyptic number.

144134619120 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 144134619120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250737411600).

144134619120 is an abundant number, since it is smaller than the sum of its proper divisors (357340204080).

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

144134619120 is a wasteful number, since it uses less digits than its factorization.

144134619120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 144134619120 in words is "one hundred forty-four billion, one hundred thirty-four million, six hundred nineteen thousand, one hundred twenty".