145720257984 has 336 divisors, whose sum is σ = 499108780800. Its totient is φ = 41569500672.

The previous prime is 145720257919. The next prime is 145720258001. The reversal of 145720257984 is 489752027541.

145720257984 is a `hidden beast` number, since 1 + 45 + 7 + 20 + 2 + 579 + 8 + 4 = 666.

145720257984 is digitally balanced in base 2, 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 (336).

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 145720257984.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 90005527 + ... + 90007145.

It is an arithmetic number, because the mean of its divisors is an integer number (1485442800).

Almost surely, 2^145720257984 is an apocalyptic number.

145720257984 is a gapful number since it is divisible by the number (14) 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 145720257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249554390400).

145720257984 is an abundant number, since it is smaller than the sum of its proper divisors (353388522816).

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

145720257984 is a wasteful number, since it uses less digits than its factorization.

145720257984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 145720257984 in words is "one hundred forty-five billion, seven hundred twenty million, two hundred fifty-seven thousand, nine hundred eighty-four".