145864176 has 80 divisors (see below), whose sum is σ = 395593728. Its totient is φ = 46252800.

The previous prime is 145864153. The next prime is 145864193. The reversal of 145864176 is 671468541.

145864176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89965 + ... + 91571.

Almost surely, 2^145864176 is an apocalyptic number.

145864176 is a gapful number since it is divisible by the number (16) 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 145864176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197796864).

145864176 is an abundant number, since it is smaller than the sum of its proper divisors (249729552).

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

145864176 is a wasteful number, since it uses less digits than its factorization.

145864176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1704 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 145864176 is about 12077.4242287004. The cubic root of 145864176 is about 526.4004044983.

The spelling of 145864176 in words is "one hundred forty-five million, eight hundred sixty-four thousand, one hundred seventy-six".