146580 has 48 divisors (see below), whose sum is σ = 470400. Its totient is φ = 33408.

The previous prime is 146563. The next prime is 146581. The reversal of 146580 is 85641.

Added to its reverse (85641) it gives a triangular number (232221 = T₆₈₁).

It is a self number, because there is not a number n which added to its sum of digits gives 146580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146581) 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, 246 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2¹⁴⁶⁵⁸⁰ is an apocalyptic number.

146580 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 146580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235200).

146580 is an abundant number, since it is smaller than the sum of its proper divisors (323820).

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

146580 is a wasteful number, since it uses less digits than its factorization.

146580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 146580 is about 382.8576759058. The cubic root of 146580 is about 52.7260097705.

Adding to 146580 its reverse (85641), we get a triangular number (232221 = T₆₈₁).

The spelling of 146580 in words is "one hundred forty-six thousand, five hundred eighty".