144552755200 has 456 divisors, whose sum is σ = 430636758912. Its totient is φ = 47060090880.

The previous prime is 144552755167. The next prime is 144552755201. The reversal of 144552755200 is 2557255441.

It is a happy number.

It is a super-2 number, since 2×144552755200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144552755201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055129532 + ... + 1055129668.

Almost surely, 2^144552755200 is an apocalyptic number.

144552755200 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 144552755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215318379456).

144552755200 is an abundant number, since it is smaller than the sum of its proper divisors (286084003712).

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

144552755200 is an frugal number, since it uses more digits than its factorization.

144552755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 40.

The spelling of 144552755200 in words is "one hundred forty-four billion, five hundred fifty-two million, seven hundred fifty-five thousand, two hundred".