145035360000 has 1350 divisors, whose sum is σ = 588751814112. Its totient is φ = 35458560000.

The previous prime is 145035359999. The next prime is 145035360011. The reversal of 145035360000 is 63530541.

145035360000 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 53 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 149 ways as a sum of consecutive naturals, for example, 4678559985 + ... + 4678560015.

Almost surely, 2^145035360000 is an apocalyptic number.

145035360000 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 145035360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294375907056).

145035360000 is an abundant number, since it is smaller than the sum of its proper divisors (443716454112).

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

145035360000 is an frugal number, since it uses more digits than its factorization.

145035360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 145035360000 its reverse (63530541), we get a palindrome (145098890541).

The spelling of 145035360000 in words is "one hundred forty-five billion, thirty-five million, three hundred sixty thousand".