145880 has 32 divisors (see below), whose sum is σ = 375840. Its totient is φ = 49920.

The previous prime is 145879. The next prime is 145897. The reversal of 145880 is 88541.

145880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (11745).

2¹⁴⁵⁸⁸⁰ is an apocalyptic number.

145880 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 145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187920).

145880 is an abundant number, since it is smaller than the sum of its proper divisors (229960).

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

145880 is a wasteful number, since it uses less digits than its factorization.

145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 145880 is about 381.9424040350. The cubic root of 145880 is about 52.6419439236.

The spelling of 145880 in words is "one hundred forty-five thousand, eight hundred eighty".