145122532320 has 96 divisors (see below), whose sum is σ = 462922629120. Its totient is φ = 38209466880.

The previous prime is 145122532307. The next prime is 145122532351. The reversal of 145122532320 is 23235221541.

145122532320 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 1875616 + ... + 1951455.

It is an arithmetic number, because the mean of its divisors is an integer number (4822110720).

Almost surely, 2^145122532320 is an apocalyptic number.

145122532320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145122532320 is an abundant number, since it is smaller than the sum of its proper divisors (317800096800).

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

145122532320 is a wasteful number, since it uses less digits than its factorization.

145122532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827168 (or 3827160 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 145122532320 its reverse (23235221541), we get a palindrome (168357753861).

The spelling of 145122532320 in words is "one hundred forty-five billion, one hundred twenty-two million, five hundred thirty-two thousand, three hundred twenty".