202136234040 has 384 divisors, whose sum is σ = 745701465600. Its totient is φ = 47075281920.

The previous prime is 202136234023. The next prime is 202136234051. The reversal of 202136234040 is 40432631202.

202136234040 is a `hidden beast` number, since 20 + 2 + 13 + 623 + 4 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×202136234040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202136233995 and 202136234013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128666455 + ... + 128668025.

It is an arithmetic number, because the mean of its divisors is an integer number (1941930900).

Almost surely, 2^202136234040 is an apocalyptic number.

202136234040 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 202136234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372850732800).

202136234040 is an abundant number, since it is smaller than the sum of its proper divisors (543565231560).

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

202136234040 is a wasteful number, since it uses less digits than its factorization.

202136234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 202136234040 its reverse (40432631202), we get a palindrome (242568865242).

The spelling of 202136234040 in words is "two hundred two billion, one hundred thirty-six million, two hundred thirty-four thousand, forty".