144374812032 has 128 divisors (see below), whose sum is σ = 420463584000. Its totient is φ = 43529840640.

The previous prime is 144374811989. The next prime is 144374812037. The reversal of 144374812032 is 230218473441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144374812037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754698 + ... + 926454.

It is an arithmetic number, because the mean of its divisors is an integer number (3284871750).

Almost surely, 2^144374812032 is an apocalyptic number.

144374812032 is a gapful number since it is divisible by the number (12) 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 144374812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210231792000).

144374812032 is an abundant number, since it is smaller than the sum of its proper divisors (276088771968).

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

144374812032 is a wasteful number, since it uses less digits than its factorization.

144374812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171984 (or 171972 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 144374812032 in words is "one hundred forty-four billion, three hundred seventy-four million, eight hundred twelve thousand, thirty-two".