145517689728 has 160 divisors (see below), whose sum is σ = 435240630000. Its totient is φ = 48261464064.

The previous prime is 145517689727. The next prime is 145517689741. The reversal of 145517689728 is 827986715541.

145517689728 is a `hidden beast` number, since 1 + 4 + 5 + 517 + 6 + 8 + 97 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145517689727) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2027968 + ... + 2098496.

Almost surely, 2^145517689728 is an apocalyptic number.

145517689728 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 145517689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620315000).

145517689728 is an abundant number, since it is smaller than the sum of its proper divisors (289722940272).

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

145517689728 is an equidigital number, since it uses as much as digits as its factorization.

145517689728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70754 (or 70733 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 145517689728 in words is "one hundred forty-five billion, five hundred seventeen million, six hundred eighty-nine thousand, seven hundred twenty-eight".