145242100240000 has 320 divisors, whose sum is σ = 373528617580800. Its totient is φ = 56178478080000.

The previous prime is 145242100239917. The next prime is 145242100240001. The reversal of 145242100240000 is 42001242541.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (145242100240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3241337596 + ... + 3241382404.

It is an arithmetic number, because the mean of its divisors is an integer number (1167276929940).

Almost surely, 2^{145242100240000} is an apocalyptic number.

145242100240000 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 145242100240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186764308790400).

145242100240000 is an abundant number, since it is smaller than the sum of its proper divisors (228286517340800).

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

145242100240000 is an equidigital number, since it uses as much as digits as its factorization.

145242100240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46181 (or 46154 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 145242100240000 its reverse (42001242541), we get a palindrome (145284101482541).

The spelling of 145242100240000 in words is "one hundred forty-five trillion, two hundred forty-two billion, one hundred million, two hundred forty thousand".