145748704573440 has 1152 divisors, whose sum is σ = 524286054190080. Its totient is φ = 37425151475712.

The previous prime is 145748704573411. The next prime is 145748704573469. The reversal of 145748704573440 is 44375407847541.

145748704573440 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 4 + 87 + 0 + 45 + 73 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (145748704573411) and next prime (145748704573469).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 72765203479 + ... + 72765205481.

It is an arithmetic number, because the mean of its divisors is an integer number (455109422040).

Almost surely, 2^{145748704573440} is an apocalyptic number.

145748704573440 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 145748704573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262143027095040).

145748704573440 is an abundant number, since it is smaller than the sum of its proper divisors (378537349616640).

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

145748704573440 is a wasteful number, since it uses less digits than its factorization.

145748704573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 210739200, while the sum is 63.

The spelling of 145748704573440 in words is "one hundred forty-five trillion, seven hundred forty-eight billion, seven hundred four million, five hundred seventy-three thousand, four hundred forty".