145166080 has 144 divisors (see below), whose sum is σ = 376750080. Its totient is φ = 53415936.

The previous prime is 145166069. The next prime is 145166089. The reversal of 145166080 is 80661541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145166089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142977 + ... + 1143103.

It is an arithmetic number, because the mean of its divisors is an integer number (2616320).

Almost surely, 2^145166080 is an apocalyptic number.

145166080 is a gapful number since it is divisible by the number (10) 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 145166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375040).

145166080 is an abundant number, since it is smaller than the sum of its proper divisors (231584000).

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

145166080 is a wasteful number, since it uses less digits than its factorization.

145166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 145166080 is about 12048.4887019078. The cubic root of 145166080 is about 525.5592890804.

The spelling of 145166080 in words is "one hundred forty-five million, one hundred sixty-six thousand, eighty".