144035454625146 has 128 divisors (see below), whose sum is σ = 374751353733120. Its totient is φ = 40146580540800.

The previous prime is 144035454625141. The next prime is 144035454625171. The reversal of 144035454625146 is 641526454530441.

144035454625146 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 5 + 4 + 5 + 4 + 625 + 1 + 4 + 6 = 666.

It is a super-3 number, since 3×144035454625146³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 144035454625092 and 144035454625101.

It is not an unprimeable number, because it can be changed into a prime (144035454625141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238227795 + ... + 238831641.

It is an arithmetic number, because the mean of its divisors is an integer number (2927744951040).

Almost surely, 2^{144035454625146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144035454625146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187375676866560).

144035454625146 is an abundant number, since it is smaller than the sum of its proper divisors (230715899107974).

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

144035454625146 is a wasteful number, since it uses less digits than its factorization.

144035454625146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619297 (or 619291 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 144035454625146 in words is "one hundred forty-four trillion, thirty-five billion, four hundred fifty-four million, six hundred twenty-five thousand, one hundred forty-six".