145344360344304 has 160 divisors (see below), whose sum is σ = 431221508985600. Its totient is φ = 41720193607680.

The previous prime is 145344360344257. The next prime is 145344360344459. The reversal of 145344360344304 is 403443063443541.

It is a super-2 number, since 2×145344360344304² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76031442 + ... + 77919630.

It is an arithmetic number, because the mean of its divisors is an integer number (2695134431160).

Almost surely, 2^{145344360344304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145344360344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215610754492800).

145344360344304 is an abundant number, since it is smaller than the sum of its proper divisors (285877148641296).

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

145344360344304 is a wasteful number, since it uses less digits than its factorization.

145344360344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895903 (or 1895897 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 48.

The spelling of 145344360344304 in words is "one hundred forty-five trillion, three hundred forty-four billion, three hundred sixty million, three hundred forty-four thousand, three hundred four".