144936380160 has 576 divisors, whose sum is σ = 604260034560. Its totient is φ = 32432209920.

The previous prime is 144936380087. The next prime is 144936380167. The reversal of 144936380160 is 61083639441.

144936380160 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 3 + 638 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (144936380167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4927417 + ... + 4956743.

It is an arithmetic number, because the mean of its divisors is an integer number (1049062560).

Almost surely, 2^144936380160 is an apocalyptic number.

144936380160 is a gapful number since it is divisible by the number (10) 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 144936380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302130017280).

144936380160 is an abundant number, since it is smaller than the sum of its proper divisors (459323654400).

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

144936380160 is a wasteful number, since it uses less digits than its factorization.

144936380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29381 (or 29361 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 144936380160 in words is "one hundred forty-four billion, nine hundred thirty-six million, three hundred eighty thousand, one hundred sixty".