144001271520 has 144 divisors (see below), whose sum is σ = 493874690400. Its totient is φ = 38207296512.

The previous prime is 144001271501. The next prime is 144001271537. The reversal of 144001271520 is 25172100441.

144001271520 is a `hidden beast` number, since 14 + 4 + 0 + 0 + 127 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×144001271520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35302 + ... + 537818.

It is an arithmetic number, because the mean of its divisors is an integer number (3429685350).

Almost surely, 2^144001271520 is an apocalyptic number.

144001271520 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 144001271520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246937345200).

144001271520 is an abundant number, since it is smaller than the sum of its proper divisors (349873418880).

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

144001271520 is a wasteful number, since it uses less digits than its factorization.

144001271520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502737 (or 502726 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 144001271520 its reverse (25172100441), we get a palindrome (169173371961).

The spelling of 144001271520 in words is "one hundred forty-four billion, one million, two hundred seventy-one thousand, five hundred twenty".