145007836824960 has 384 divisors, whose sum is σ = 527403162031200. Its totient is φ = 36611404627968.

The previous prime is 145007836824943. The next prime is 145007836824967. The reversal of 145007836824960 is 69428638700541.

145007836824960 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 0 + 7 + 83 + 68 + 2 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145007836824967) by changing a digit.

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, 180942262 + ... + 181741898.

It is a 1-persistent number, because it is pandigital, but 2⋅145007836824960 = 290015673649920 is not.

Almost surely, 2^{145007836824960} is an apocalyptic number.

145007836824960 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 145007836824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263701581015600).

145007836824960 is an abundant number, since it is smaller than the sum of its proper divisors (382395325206240).

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

145007836824960 is a wasteful number, since it uses less digits than its factorization.

145007836824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801338 (or 801323 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 145007836824960 in words is "one hundred forty-five trillion, seven billion, eight hundred thirty-six million, eight hundred twenty-four thousand, nine hundred sixty".