144885751920 has 960 divisors, whose sum is σ = 629049738240. Its totient is φ = 30469727232.

The previous prime is 144885751909. The next prime is 144885751939. The reversal of 144885751920 is 29157588441.

144885751920 is a `hidden beast` number, since 1 + 4 + 48 + 8 + 575 + 1 + 9 + 20 = 666.

It is a super-2 number, since 2×144885751920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 471940407 + ... + 471940713.

It is an arithmetic number, because the mean of its divisors is an integer number (655260144).

Almost surely, 2^144885751920 is an apocalyptic number.

144885751920 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 144885751920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314524869120).

144885751920 is an abundant number, since it is smaller than the sum of its proper divisors (484163986320).

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

144885751920 is an equidigital number, since it uses as much as digits as its factorization.

144885751920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 144885751920 in words is "one hundred forty-four billion, eight hundred eighty-five million, seven hundred fifty-one thousand, nine hundred twenty".