1820113152 has 144 divisors (see below), whose sum is σ = 5691379008. Its totient is φ = 509091840.

The previous prime is 1820113147. The next prime is 1820113157. The reversal of 1820113152 is 2513110281.

It is an interprime number because it is at equal distance from previous prime (1820113147) and next prime (1820113157).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1820113157) 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, 101538 + ... + 118110.

Almost surely, 2^1820113152 is an apocalyptic number.

1820113152 is a gapful number since it is divisible by the number (12) 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 1820113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845689504).

1820113152 is an abundant number, since it is smaller than the sum of its proper divisors (3871265856).

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

1820113152 is a wasteful number, since it uses less digits than its factorization.

1820113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16616 (or 16602 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1820113152 is about 42662.7841566863. The cubic root of 1820113152 is about 1220.9544515256.

The spelling of 1820113152 in words is "one billion, eight hundred twenty million, one hundred thirteen thousand, one hundred fifty-two".