8100135820 has 48 divisors (see below), whose sum is σ = 19714157568. Its totient is φ = 2738070720.

The previous prime is 8100135811. The next prime is 8100135821. The reversal of 8100135820 is 285310018.

It is a super-2 number, since 2×8100135820² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8100135821) 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, 397512 + ... + 417391.

It is an arithmetic number, because the mean of its divisors is an integer number (410711616).

Almost surely, 2^8100135820 is an apocalyptic number.

It is an amenable number.

8100135820 is an abundant number, since it is smaller than the sum of its proper divisors (11614021748).

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

8100135820 is a wasteful number, since it uses less digits than its factorization.

8100135820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814990 (or 814988 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 8100135820 is about 90000.7545523925. The cubic root of 8100135820 is about 2008.3100751694.

Adding to 8100135820 its reverse (285310018), we get a palindrome (8385445838).

The spelling of 8100135820 in words is "eight billion, one hundred million, one hundred thirty-five thousand, eight hundred twenty".