146636820 has 144 divisors (see below), whose sum is σ = 501096960. Its totient is φ = 34387200.

The previous prime is 146636807. The next prime is 146636821. The reversal of 146636820 is 28636641.

146636820 is a `hidden beast` number, since 14 + 6 + 636 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146636821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60186 + ... + 62574.

It is an arithmetic number, because the mean of its divisors is an integer number (3479840).

Almost surely, 2^146636820 is an apocalyptic number.

146636820 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 146636820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250548480).

146636820 is an abundant number, since it is smaller than the sum of its proper divisors (354460140).

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

146636820 is a wasteful number, since it uses less digits than its factorization.

146636820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146636820 is about 12109.3690999986. The cubic root of 146636820 is about 527.3282176133.

It can be divided in two parts, 146636 and 820, that added together give a square (147456 = 384²).

The spelling of 146636820 in words is "one hundred forty-six million, six hundred thirty-six thousand, eight hundred twenty".