145938281984 has 120 divisors (see below), whose sum is σ = 321072028200. Its totient is φ = 66219253760.

The previous prime is 145938281969. The next prime is 145938282019. The reversal of 145938281984 is 489182839541.

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 11 ways as a sum of consecutive naturals, for example, 42311492 + ... + 42314940.

It is an arithmetic number, because the mean of its divisors is an integer number (2675600235).

Almost surely, 2^145938281984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145938281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160536014100).

145938281984 is an abundant number, since it is smaller than the sum of its proper divisors (175133746216).

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

145938281984 is an equidigital number, since it uses as much as digits as its factorization.

145938281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4145 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 62.

The spelling of 145938281984 in words is "one hundred forty-five billion, nine hundred thirty-eight million, two hundred eighty-one thousand, nine hundred eighty-four".