145461401324020 has 288 divisors, whose sum is σ = 344626206664320. Its totient is φ = 51417293783040.

The previous prime is 145461401323967. The next prime is 145461401324023. The reversal of 145461401324020 is 20423104164541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145461401324023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9644055399 + ... + 9644070481.

It is an arithmetic number, because the mean of its divisors is an integer number (1196618773140).

Almost surely, 2^{145461401324020} is an apocalyptic number.

145461401324020 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 145461401324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172313103332160).

145461401324020 is an abundant number, since it is smaller than the sum of its proper divisors (199164805340300).

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

145461401324020 is a wasteful number, since it uses less digits than its factorization.

145461401324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15923 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 145461401324020 its reverse (20423104164541), we get a palindrome (165884505488561).

The spelling of 145461401324020 in words is "one hundred forty-five trillion, four hundred sixty-one billion, four hundred one million, three hundred twenty-four thousand, twenty".