145965059730720 has 768 divisors, whose sum is σ = 547554506204160. Its totient is φ = 36187471872000.

The previous prime is 145965059730713. The next prime is 145965059730731. The reversal of 145965059730720 is 27037950569541.

145965059730720 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 6 + 5 + 0 + 597 + 30 + 7 + 2 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 3033268260 + ... + 3033316380.

It is an arithmetic number, because the mean of its divisors is an integer number (712961596620).

Almost surely, 2^{145965059730720} is an apocalyptic number.

145965059730720 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 145965059730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273777253102080).

145965059730720 is an abundant number, since it is smaller than the sum of its proper divisors (401589446473440).

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

145965059730720 is a wasteful number, since it uses less digits than its factorization.

145965059730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48666 (or 48652 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 145965059730720 in words is "one hundred forty-five trillion, nine hundred sixty-five billion, fifty-nine million, seven hundred thirty thousand, seven hundred twenty".