145320376320 has 960 divisors, whose sum is σ = 603536693760. Its totient is φ = 32893599744.

The previous prime is 145320376319. The next prime is 145320376337. The reversal of 145320376320 is 23673023541.

145320376320 is a `hidden beast` number, since 1 + 4 + 5 + 320 + 3 + 7 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×145320376320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1410877389 + ... + 1410877491.

It is an arithmetic number, because the mean of its divisors is an integer number (628684056).

Almost surely, 2^145320376320 is an apocalyptic number.

145320376320 is a gapful number since it is divisible by the number (10) 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 145320376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301768346880).

145320376320 is an abundant number, since it is smaller than the sum of its proper divisors (458216317440).

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

145320376320 is an frugal number, since it uses more digits than its factorization.

145320376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 145320376320 its reverse (23673023541), we get a palindrome (168993399861).

The spelling of 145320376320 in words is "one hundred forty-five billion, three hundred twenty million, three hundred seventy-six thousand, three hundred twenty".