20200135200 has 288 divisors, whose sum is σ = 77177810304. Its totient is φ = 4492247040.

The previous prime is 20200135159. The next prime is 20200135201. The reversal of 20200135200 is 253100202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20200135200.

It is not an unprimeable number, because it can be changed into a prime (20200135201) 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, 605352 + ... + 637848.

It is an arithmetic number, because the mean of its divisors is an integer number (267978508).

Almost surely, 2^20200135200 is an apocalyptic number.

20200135200 is a gapful number since it is divisible by the number (20) 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 20200135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38588905152).

20200135200 is an abundant number, since it is smaller than the sum of its proper divisors (56977675104).

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

20200135200 is a wasteful number, since it uses less digits than its factorization.

20200135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32564 (or 32551 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 20200135200 its reverse (253100202), we get a palindrome (20453235402).

The spelling of 20200135200 in words is "twenty billion, two hundred million, one hundred thirty-five thousand, two hundred".