145741303818792 has 192 divisors, whose sum is σ = 464814845539200. Its totient is φ = 40787171335680.

The previous prime is 145741303818757. The next prime is 145741303818809. The reversal of 145741303818792 is 297818303147541.

145741303818792 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 413 + 0 + 38 + 187 + 9 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137415363 + ... + 138471890.

It is an arithmetic number, because the mean of its divisors is an integer number (2420910653850).

Almost surely, 2^{145741303818792} is an apocalyptic number.

145741303818792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145741303818792 is an abundant number, since it is smaller than the sum of its proper divisors (319073541720408).

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

145741303818792 is a wasteful number, since it uses less digits than its factorization.

145741303818792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275887328 (or 275887321 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 145741303818792 in words is "one hundred forty-five trillion, seven hundred forty-one billion, three hundred three million, eight hundred eighteen thousand, seven hundred ninety-two".