145513344000000 has 392 divisors, whose sum is σ = 485009946949464. Its totient is φ = 38803456000000.

The previous prime is 145513343999999. The next prime is 145513344000091. The reversal of 145513344000000 is 443315541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 383810530 + ... + 384189470.

Almost surely, 2^{145513344000000} is an apocalyptic number.

145513344000000 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 145513344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242504973474732).

145513344000000 is an abundant number, since it is smaller than the sum of its proper divisors (339496602949464).

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

145513344000000 is an frugal number, since it uses more digits than its factorization.

145513344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379000 (or 378951 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 145513344000000 its reverse (443315541), we get a palindrome (145513787315541).

The spelling of 145513344000000 in words is "one hundred forty-five trillion, five hundred thirteen billion, three hundred forty-four million", and thus it is an aban number.