145340403425280 has 1792 divisors, whose sum is σ = 623218756608000. Its totient is φ = 31392103661568.

The previous prime is 145340403425279. The next prime is 145340403425281. The reversal of 145340403425280 is 82524304043541.

145340403425280 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 40 + 40 + 3 + 42 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145340403425279) and next prime (145340403425281).

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×145340403425280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145340403425281) 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 127 ways as a sum of consecutive naturals, for example, 71631543306 + ... + 71631545334.

It is an arithmetic number, because the mean of its divisors is an integer number (347778324000).

Almost surely, 2^{145340403425280} is an apocalyptic number.

145340403425280 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 145340403425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311609378304000).

145340403425280 is an abundant number, since it is smaller than the sum of its proper divisors (477878353182720).

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

145340403425280 is a wasteful number, since it uses less digits than its factorization.

145340403425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 145340403425280 in words is "one hundred forty-five trillion, three hundred forty billion, four hundred three million, four hundred twenty-five thousand, two hundred eighty".