145351142205312 has 128 divisors (see below), whose sum is σ = 399243900902400. Its totient is φ = 46805059768320.

The previous prime is 145351142205259. The next prime is 145351142205317. The reversal of 145351142205312 is 213502241153541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145351142205312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145351142205317) 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 15 ways as a sum of consecutive naturals, for example, 3956218 + ... + 17502969.

It is an arithmetic number, because the mean of its divisors is an integer number (3119092975800).

Almost surely, 2^{145351142205312} is an apocalyptic number.

145351142205312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145351142205312 is an abundant number, since it is smaller than the sum of its proper divisors (253892758697088).

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

145351142205312 is a wasteful number, since it uses less digits than its factorization.

145351142205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21459804 (or 21459792 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 145351142205312 its reverse (213502241153541), we get a palindrome (358853383358853).

The spelling of 145351142205312 in words is "one hundred forty-five trillion, three hundred fifty-one billion, one hundred forty-two million, two hundred five thousand, three hundred twelve".