145230382080 has 880 divisors, whose sum is σ = 626311255680. Its totient is φ = 31436439552.

The previous prime is 145230382007. The next prime is 145230382109. The reversal of 145230382080 is 80283032541.

145230382080 is a `hidden beast` number, since 1 + 4 + 523 + 0 + 38 + 20 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55156444 + ... + 55159076.

It is an arithmetic number, because the mean of its divisors is an integer number (711717336).

Almost surely, 2^145230382080 is an apocalyptic number.

145230382080 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 145230382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313155627840).

145230382080 is an abundant number, since it is smaller than the sum of its proper divisors (481080873600).

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

145230382080 is a wasteful number, since it uses less digits than its factorization.

145230382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145230382080 in words is "one hundred forty-five billion, two hundred thirty million, three hundred eighty-two thousand, eighty".