145130590884048 has 480 divisors, whose sum is σ = 501214235235840. Its totient is φ = 35684253803520.

The previous prime is 145130590884011. The next prime is 145130590884077. The reversal of 145130590884048 is 840488095031541.

It is a junction number, because it is equal to n+sod(n) for n = 145130590883982 and 145130590884000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 630566686 + ... + 630796802.

It is an arithmetic number, because the mean of its divisors is an integer number (1044196323408).

Almost surely, 2^{145130590884048} 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 145130590884048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250607117617920).

145130590884048 is an abundant number, since it is smaller than the sum of its proper divisors (356083644351792).

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

145130590884048 is a wasteful number, since it uses less digits than its factorization.

145130590884048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231455 (or 231442 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 145130590884048 in words is "one hundred forty-five trillion, one hundred thirty billion, five hundred ninety million, eight hundred eighty-four thousand, forty-eight".