145501541431344 has 60 divisors (see below), whose sum is σ = 465373977755856. Its totient is φ = 41571868980096.

The previous prime is 145501541431291. The next prime is 145501541431357. The reversal of 145501541431344 is 443134145105541.

145501541431344 is a `hidden beast` number, since 1 + 4 + 5 + 50 + 1 + 541 + 4 + 3 + 13 + 44 = 666.

It is a super-2 number, since 2×145501541431344² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145501541431344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72173382639 + ... + 72173384654.

Almost surely, 2^{145501541431344} is an apocalyptic number.

145501541431344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145501541431344 is an abundant number, since it is smaller than the sum of its proper divisors (319872436324512).

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

145501541431344 is a wasteful number, since it uses less digits than its factorization.

145501541431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144346767314 (or 144346767305 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 145501541431344 its reverse (443134145105541), we get a palindrome (588635686536885).

The spelling of 145501541431344 in words is "one hundred forty-five trillion, five hundred one billion, five hundred forty-one million, four hundred thirty-one thousand, three hundred forty-four".