144135218229120 has 192 divisors, whose sum is σ = 504017141284800. Its totient is φ = 37949525692416.

The previous prime is 144135218229109. The next prime is 144135218229127. The reversal of 144135218229120 is 21922812531441.

144135218229120 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 3 + 521 + 82 + 29 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×144135218229120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144135218229127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157921387 + ... + 158831466.

It is an arithmetic number, because the mean of its divisors is an integer number (2625089277525).

Almost surely, 2^{144135218229120} is an apocalyptic number.

144135218229120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144135218229120 is an abundant number, since it is smaller than the sum of its proper divisors (359881923055680).

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

144135218229120 is a wasteful number, since it uses less digits than its factorization.

144135218229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316752957 (or 316752942 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 144135218229120 in words is "one hundred forty-four trillion, one hundred thirty-five billion, two hundred eighteen million, two hundred twenty-nine thousand, one hundred twenty".