145301335040000 has 560 divisors, whose sum is σ = 376532832424320. Its totient is φ = 55990026240000.

The previous prime is 145301335039967. The next prime is 145301335040003. The reversal of 145301335040000 is 40533103541.

It is a super-2 number, since 2×145301335040000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145301335040003) 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 39 ways as a sum of consecutive naturals, for example, 36981758036 + ... + 36981761964.

Almost surely, 2^{145301335040000} is an apocalyptic number.

145301335040000 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 145301335040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188266416212160).

145301335040000 is an abundant number, since it is smaller than the sum of its proper divisors (231231497384320).

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

145301335040000 is an frugal number, since it uses more digits than its factorization.

145301335040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 145301335040000 its reverse (40533103541), we get a palindrome (145341868143541).

The spelling of 145301335040000 in words is "one hundred forty-five trillion, three hundred one billion, three hundred thirty-five million, forty thousand".