145005232020352 has 128 divisors (see below), whose sum is σ = 318064315852800. Its totient is φ = 65302482954240.

The previous prime is 145005232020331. The next prime is 145005232020371. The reversal of 145005232020352 is 253020232500541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145005232020352² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 65199193 + ... + 67386535.

It is an arithmetic number, because the mean of its divisors is an integer number (2484877467600).

Almost surely, 2^{145005232020352} 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 145005232020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159032157926400).

145005232020352 is an abundant number, since it is smaller than the sum of its proper divisors (173059083832448).

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

145005232020352 is a wasteful number, since it uses less digits than its factorization.

145005232020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187804 (or 2187792 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 145005232020352 its reverse (253020232500541), we get a palindrome (398025464520893).

The spelling of 145005232020352 in words is "one hundred forty-five trillion, five billion, two hundred thirty-two million, twenty thousand, three hundred fifty-two".