149820 has 48 divisors (see below), whose sum is σ = 459648. Its totient is φ = 36160.

The previous prime is 149803. The next prime is 149827. The reversal of 149820 is 28941.

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 149820.

It is not an unprimeable number, because it can be changed into a prime (149827) 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, 547 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹⁴⁹⁸²⁰ is an apocalyptic number.

149820 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 149820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

149820 is an abundant number, since it is smaller than the sum of its proper divisors (309828).

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

149820 is a wasteful number, since it uses less digits than its factorization.

149820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 149820 is about 387.0658858644. The cubic root of 149820 is about 53.1116667808. Note that the first 3 decimals are identical.

It can be divided in two parts, 149 and 820, that added together give a palindrome (969).

The spelling of 149820 in words is "one hundred forty-nine thousand, eight hundred twenty".