144105892938 has 224 divisors, whose sum is σ = 399838636800. Its totient is φ = 38023147008.

The previous prime is 144105892897. The next prime is 144105893027. The reversal of 144105892938 is 839298501441.

It is a happy number.

144105892938 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 589 + 29 + 38 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6796818 + ... + 6817986.

Almost surely, 2^144105892938 is an apocalyptic number.

144105892938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144105892938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199919318400).

144105892938 is an abundant number, since it is smaller than the sum of its proper divisors (255732743862).

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

144105892938 is a wasteful number, since it uses less digits than its factorization.

144105892938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21233 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 144105892938 in words is "one hundred forty-four billion, one hundred five million, eight hundred ninety-two thousand, nine hundred thirty-eight".