144005740055100 has 1296 divisors, whose sum is σ = 575314078667328. Its totient is φ = 29488250880000.

The previous prime is 144005740055057. The next prime is 144005740055117. The reversal of 144005740055100 is 1550047500441.

144005740055100 is a `hidden beast` number, since 14 + 4 + 0 + 0 + 57 + 40 + 0 + 551 + 0 + 0 = 666.

It is a super-4 number, since 4×144005740055100⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17820283060 + ... + 17820291140.

Almost surely, 2^{144005740055100} is an apocalyptic number.

144005740055100 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 144005740055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287657039333664).

144005740055100 is an abundant number, since it is smaller than the sum of its proper divisors (431308338612228).

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

144005740055100 is a wasteful number, since it uses less digits than its factorization.

144005740055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 144005740055100 its reverse (1550047500441), we get a palindrome (145555787555541).

The spelling of 144005740055100 in words is "one hundred forty-four trillion, five billion, seven hundred forty million, fifty-five thousand, one hundred".