144040731975 has 480 divisors, whose sum is σ = 330763591680. Its totient is φ = 61344864000.

The previous prime is 144040731953. The next prime is 144040731977. The reversal of 144040731975 is 579137040441.

It is a happy number.

144040731975 is a `hidden beast` number, since 14 + 40 + 407 + 3 + 197 + 5 = 666.

144040731975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144040731975 - 2⁶ = 144040731911 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144040731975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040731977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2361323445 + ... + 2361323505.

It is an arithmetic number, because the mean of its divisors is an integer number (689090816).

Almost surely, 2^144040731975 is an apocalyptic number.

144040731975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144040731975 is an abundant number, since it is smaller than the sum of its proper divisors (186722859705).

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

144040731975 is an equidigital number, since it uses as much as digits as its factorization.

144040731975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 144040731975 in words is "one hundred forty-four billion, forty million, seven hundred thirty-one thousand, nine hundred seventy-five".