145580112 has 160 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 44513280.

The previous prime is 145580111. The next prime is 145580119. The reversal of 145580112 is 211085541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145580111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315562 + ... + 316022.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^145580112 is an apocalyptic number.

145580112 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 145580112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

145580112 is an abundant number, since it is smaller than the sum of its proper divisors (308140848).

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

145580112 is a wasteful number, since it uses less digits than its factorization.

145580112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 145580112 is about 12065.6583740797. The cubic root of 145580112 is about 526.0584686363.

The spelling of 145580112 in words is "one hundred forty-five million, five hundred eighty thousand, one hundred twelve".