145440001509984 has 96 divisors (see below), whose sum is σ = 430010963555040. Its totient is φ = 47815890886656.

The previous prime is 145440001509953. The next prime is 145440001509991. The reversal of 145440001509984 is 489905100044541.

145440001509984 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 40 + 0 + 0 + 1 + 509 + 98 + 4 = 666.

145440001509984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 145440001509984.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1152904977 + ... + 1153031120.

It is an arithmetic number, because the mean of its divisors is an integer number (4479280870365).

Almost surely, 2^{145440001509984} is an apocalyptic number.

It is an amenable number.

145440001509984 is an abundant number, since it is smaller than the sum of its proper divisors (284570962045056).

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

145440001509984 is a wasteful number, since it uses less digits than its factorization.

145440001509984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305936189 (or 2305936175 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 145440001509984 in words is "one hundred forty-five trillion, four hundred forty billion, one million, five hundred nine thousand, nine hundred eighty-four".