145341332928 has 168 divisors, whose sum is σ = 454794128256. Its totient is φ = 44011123200.

The previous prime is 145341332911. The next prime is 145341332933. The reversal of 145341332928 is 829233143541.

It is a happy number.

145341332928 is a `hidden beast` number, since 14 + 5 + 341 + 3 + 3 + 292 + 8 = 666.

It is a super-2 number, since 2×145341332928² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9692925 + ... + 9707907.

Almost surely, 2^145341332928 is an apocalyptic number.

145341332928 is a gapful number since it is divisible by the number (18) 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 145341332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227397064128).

145341332928 is an abundant number, since it is smaller than the sum of its proper divisors (309452795328).

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

145341332928 is a wasteful number, since it uses less digits than its factorization.

145341332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16543 (or 16530 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 145341332928 in words is "one hundred forty-five billion, three hundred forty-one million, three hundred thirty-two thousand, nine hundred twenty-eight".