144750147600 has 240 divisors, whose sum is σ = 495149022720. Its totient is φ = 36066508800.

The previous prime is 144750147593. The next prime is 144750147601. The reversal of 144750147600 is 6741057441.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (144750147601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011712 + ... + 1145888.

It is an arithmetic number, because the mean of its divisors is an integer number (2063120928).

Almost surely, 2^144750147600 is an apocalyptic number.

144750147600 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 144750147600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247574511360).

144750147600 is an abundant number, since it is smaller than the sum of its proper divisors (350398875120).

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

144750147600 is a wasteful number, since it uses less digits than its factorization.

144750147600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134258 (or 134247 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 144750147600 in words is "one hundred forty-four billion, seven hundred fifty million, one hundred forty-seven thousand, six hundred".