145465320096 has 96 divisors (see below), whose sum is σ = 424621612800. Its totient is φ = 48448696320.

The previous prime is 145465320079. The next prime is 145465320149. The reversal of 145465320096 is 690023564541.

145465320096 is a `hidden beast` number, since 14 + 546 + 5 + 3 + 2 + 0 + 0 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995200 + ... + 1131968.

It is an arithmetic number, because the mean of its divisors is an integer number (4423141800).

Almost surely, 2^145465320096 is an apocalyptic number.

145465320096 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 145465320096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212310806400).

145465320096 is an abundant number, since it is smaller than the sum of its proper divisors (279156292704).

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

145465320096 is a wasteful number, since it uses less digits than its factorization.

145465320096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138019 (or 138005 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 145465320096 in words is "one hundred forty-five billion, four hundred sixty-five million, three hundred twenty thousand, ninety-six".