144955077120 has 960 divisors, whose sum is σ = 605464104960. Its totient is φ = 32774160384.

The previous prime is 144955077089. The next prime is 144955077133. The reversal of 144955077120 is 21770559441.

144955077120 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 550 + 7 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430133592 + ... + 430133928.

It is an arithmetic number, because the mean of its divisors is an integer number (630691776).

Almost surely, 2^144955077120 is an apocalyptic number.

144955077120 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 144955077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302732052480).

144955077120 is an abundant number, since it is smaller than the sum of its proper divisors (460509027840).

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

144955077120 is a wasteful number, since it uses less digits than its factorization.

144955077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 144955077120 in words is "one hundred forty-four billion, nine hundred fifty-five million, seventy-seven thousand, one hundred twenty".