144387056250 has 480 divisors, whose sum is σ = 451225494720. Its totient is φ = 34292160000.

The previous prime is 144387056213. The next prime is 144387056263. The reversal of 144387056250 is 52650783441.

144387056250 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 87 + 0 + 562 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 144387056196 and 144387056205.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 163518309 + ... + 163519191.

It is an arithmetic number, because the mean of its divisors is an integer number (940053114).

Almost surely, 2^144387056250 is an apocalyptic number.

144387056250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144387056250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225612747360).

144387056250 is an abundant number, since it is smaller than the sum of its proper divisors (306838438470).

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

144387056250 is an equidigital number, since it uses as much as digits as its factorization.

144387056250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 144387056250 in words is "one hundred forty-four billion, three hundred eighty-seven million, fifty-six thousand, two hundred fifty".