144555142400 has 108 divisors (see below), whose sum is σ = 361486740972. Its totient is φ = 57225707520.

The previous prime is 144555142399. The next prime is 144555142451. The reversal of 144555142400 is 4241555441.

It can be written as a sum of positive squares in 6 ways, for example, as 4511540224 + 140043602176 = 67168^2 + 374224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504374 + ... + 737226.

Almost surely, 2^144555142400 is an apocalyptic number.

144555142400 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 144555142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180743370486).

144555142400 is an abundant number, since it is smaller than the sum of its proper divisors (216931598572).

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

144555142400 is an equidigital number, since it uses as much as digits as its factorization.

144555142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232976 (or 232957 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 144555142400 its reverse (4241555441), we get a palindrome (148796697841).

The spelling of 144555142400 in words is "one hundred forty-four billion, five hundred fifty-five million, one hundred forty-two thousand, four hundred".