144657007509 has 32 divisors (see below), whose sum is σ = 232105216000. Its totient is φ = 78285610944.

The previous prime is 144657007493. The next prime is 144657007541. The reversal of 144657007509 is 905700756441.

144657007509 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 144657007509 - 2⁴ = 144657007493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144657007559) 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 31 ways as a sum of consecutive naturals, for example, 1232232 + ... + 1344510.

It is an arithmetic number, because the mean of its divisors is an integer number (7253288000).

Almost surely, 2^144657007509 is an apocalyptic number.

144657007509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

144657007509 is a deficient number, since it is larger than the sum of its proper divisors (87448208491).

144657007509 is a wasteful number, since it uses less digits than its factorization.

144657007509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115537.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 144657007509 in words is "one hundred forty-four billion, six hundred fifty-seven million, seven thousand, five hundred nine".