102867131136 has 576 divisors, whose sum is σ = 350754324480. Its totient is φ = 25993543680.

The previous prime is 102867131131. The next prime is 102867131161. The reversal of 102867131136 is 631131768201.

It is a junction number, because it is equal to n+sod(n) for n = 102867131094 and 102867131103.

It is not an unprimeable number, because it can be changed into a prime (102867131131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453159055 + ... + 453159281.

It is an arithmetic number, because the mean of its divisors is an integer number (608948480).

Almost surely, 2^102867131136 is an apocalyptic number.

102867131136 is a gapful number since it is divisible by the number (16) 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 102867131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175377162240).

102867131136 is an abundant number, since it is smaller than the sum of its proper divisors (247887193344).

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

102867131136 is a wasteful number, since it uses less digits than its factorization.

102867131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 102867131136 its reverse (631131768201), we get a palindrome (733998899337).

The spelling of 102867131136 in words is "one hundred two billion, eight hundred sixty-seven million, one hundred thirty-one thousand, one hundred thirty-six".