145121012040000 has 560 divisors, whose sum is σ = 508400822160000. Its totient is φ = 36395778048000.

The previous prime is 145121012039999. The next prime is 145121012040007. The reversal of 145121012040000 is 40210121541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145121012040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2853934576 + ... + 2853985424.

It is an arithmetic number, because the mean of its divisors is an integer number (907858611000).

Almost surely, 2^{145121012040000} is an apocalyptic number.

145121012040000 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 145121012040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254200411080000).

145121012040000 is an abundant number, since it is smaller than the sum of its proper divisors (363279810120000).

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

145121012040000 is a wasteful number, since it uses less digits than its factorization.

145121012040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52300 (or 52275 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 145121012040000 its reverse (40210121541), we get a palindrome (145161222161541).

The spelling of 145121012040000 in words is "one hundred forty-five trillion, one hundred twenty-one billion, twelve million, forty thousand".