144124334734128 has 160 divisors (see below), whose sum is σ = 451698144468480. Its totient is φ = 38656492892160.

The previous prime is 144124334734097. The next prime is 144124334734183. The reversal of 144124334734128 is 821437433421441.

It is a super-3 number, since 3×144124334734128³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30209718 + ... + 34653653.

It is an arithmetic number, because the mean of its divisors is an integer number (2823113402928).

Almost surely, 2^{144124334734128} is an apocalyptic number.

It is an amenable number.

144124334734128 is an abundant number, since it is smaller than the sum of its proper divisors (307573809734352).

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

144124334734128 is a wasteful number, since it uses less digits than its factorization.

144124334734128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64863795 (or 64863789 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 51.

The spelling of 144124334734128 in words is "one hundred forty-four trillion, one hundred twenty-four billion, three hundred thirty-four million, seven hundred thirty-four thousand, one hundred twenty-eight".