145220076288 has 360 divisors, whose sum is σ = 495904405920. Its totient is φ = 41405644800.

The previous prime is 145220076283. The next prime is 145220076317. The reversal of 145220076288 is 882670022541.

145220076288 is a `hidden beast` number, since 14 + 5 + 2 + 2 + 0 + 0 + 7 + 628 + 8 = 666.

145220076288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145220076283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111621238 + ... + 111622538.

Almost surely, 2^145220076288 is an apocalyptic number.

145220076288 is a gapful number since it is divisible by the number (18) 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 145220076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247952202960).

145220076288 is an abundant number, since it is smaller than the sum of its proper divisors (350684329632).

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

145220076288 is an equidigital number, since it uses as much as digits as its factorization.

145220076288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 145220076288 in words is "one hundred forty-five billion, two hundred twenty million, seventy-six thousand, two hundred eighty-eight".