144581087970 has 256 divisors, whose sum is σ = 428963973120. Its totient is φ = 34356960000.

The previous prime is 144581087933. The next prime is 144581087971. The reversal of 144581087970 is 79780185441.

144581087970 is a `hidden beast` number, since 1 + 445 + 8 + 108 + 7 + 97 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (144581087971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59966065 + ... + 59968475.

It is an arithmetic number, because the mean of its divisors is an integer number (1675640520).

Almost surely, 2^144581087970 is an apocalyptic number.

144581087970 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 144581087970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214481986560).

144581087970 is an abundant number, since it is smaller than the sum of its proper divisors (284382885150).

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

144581087970 is a wasteful number, since it uses less digits than its factorization.

144581087970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 144581087970 in words is "one hundred forty-four billion, five hundred eighty-one million, eighty-seven thousand, nine hundred seventy".