145215412403120 has 80 divisors (see below), whose sum is σ = 346845648805920. Its totient is φ = 56500818573312.

The previous prime is 145215412403119. The next prime is 145215412403183. The reversal of 145215412403120 is 21304214512541.

145215412403120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4126724 + ... + 17534556.

It is an arithmetic number, because the mean of its divisors is an integer number (4335570610074).

Almost surely, 2^{145215412403120} is an apocalyptic number.

145215412403120 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 145215412403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173422824402960).

145215412403120 is an abundant number, since it is smaller than the sum of its proper divisors (201630236402800).

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

145215412403120 is a wasteful number, since it uses less digits than its factorization.

145215412403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13411542 (or 13411536 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 145215412403120 its reverse (21304214512541), we get a palindrome (166519626915661).

The spelling of 145215412403120 in words is "one hundred forty-five trillion, two hundred fifteen billion, four hundred twelve million, four hundred three thousand, one hundred twenty".