145753588896 has 144 divisors (see below), whose sum is σ = 399305114208. Its totient is φ = 46547737600.

The previous prime is 145753588889. The next prime is 145753588931. The reversal of 145753588896 is 698885357541.

It is a self number, because there is not a number n which added to its sum of digits gives 145753588896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10569526 + ... + 10583306.

It is an arithmetic number, because the mean of its divisors is an integer number (2772952182).

Almost surely, 2^145753588896 is an apocalyptic number.

145753588896 is a gapful number since it is divisible by the number (16) 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 145753588896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199652557104).

145753588896 is an abundant number, since it is smaller than the sum of its proper divisors (253551525312).

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

145753588896 is a wasteful number, since it uses less digits than its factorization.

145753588896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13946 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 69.

The spelling of 145753588896 in words is "one hundred forty-five billion, seven hundred fifty-three million, five hundred eighty-eight thousand, eight hundred ninety-six".