19133820 has 144 divisors (see below), whose sum is σ = 62619648. Its totient is φ = 4898880.

The previous prime is 19133801. The next prime is 19133833. The reversal of 19133820 is 2833191.

It is a super-2 number, since 2×19133820² = 732206135584800, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150597 + ... + 150723.

Almost surely, 2^19133820 is an apocalyptic number.

19133820 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 19133820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31309824).

19133820 is an abundant number, since it is smaller than the sum of its proper divisors (43485828).

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

19133820 is a wasteful number, since it uses less digits than its factorization.

19133820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19133820 is about 4374.2222165775. Note that the first 4 decimals coincide. The cubic root of 19133820 is about 267.4651656390.

The spelling of 19133820 in words is "nineteen million, one hundred thirty-three thousand, eight hundred twenty".