145513315144332 has 144 divisors (see below), whose sum is σ = 394962120064512. Its totient is φ = 45006593748480.

The previous prime is 145513315144303. The next prime is 145513315144339. The reversal of 145513315144332 is 233441513315541.

It is a happy number.

145513315144332 is a `hidden beast` number, since 1 + 4 + 5 + 51 + 3 + 3 + 151 + 443 + 3 + 2 = 666.

145513315144332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145513315144339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725132583 + ... + 1725216929.

It is an arithmetic number, because the mean of its divisors is an integer number (2742792500448).

Almost surely, 2^{145513315144332} is an apocalyptic number.

145513315144332 is a gapful number since it is divisible by the number (12) 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 145513315144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197481060032256).

145513315144332 is an abundant number, since it is smaller than the sum of its proper divisors (249448804920180).

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

145513315144332 is a wasteful number, since it uses less digits than its factorization.

145513315144332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124148 (or 124143 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

Adding to 145513315144332 its reverse (233441513315541), we get a palindrome (378954828459873).

The spelling of 145513315144332 in words is "one hundred forty-five trillion, five hundred thirteen billion, three hundred fifteen million, one hundred forty-four thousand, three hundred thirty-two".