1810148160 has 112 divisors (see below), whose sum is σ = 5841626112. Its totient is φ = 474777600.

The previous prime is 1810148147. The next prime is 1810148161. The reversal of 1810148160 is 618410181.

It is a super-2 number, since 2×1810148160² = 6553272722302771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1810148161) 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, 43105 + ... + 74015.

It is an arithmetic number, because the mean of its divisors is an integer number (52157376).

Almost surely, 2^1810148160 is an apocalyptic number.

1810148160 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 1810148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920813056).

1810148160 is an abundant number, since it is smaller than the sum of its proper divisors (4031477952).

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

1810148160 is a wasteful number, since it uses less digits than its factorization.

1810148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30992 (or 30982 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1810148160 is about 42545.8359889661. The cubic root of 1810148160 is about 1218.7221593114.

The spelling of 1810148160 in words is "one billion, eight hundred ten million, one hundred forty-eight thousand, one hundred sixty".