135938926200 has 1152 divisors, whose sum is σ = 555714432000. Its totient is φ = 27445017600.

The previous prime is 135938926177. The next prime is 135938926229. The reversal of 135938926200 is 2629839531.

It is a self number, because there is not a number n which added to its sum of digits gives 135938926200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1319795349 + ... + 1319795451.

It is an arithmetic number, because the mean of its divisors is an integer number (482391000).

Almost surely, 2^135938926200 is an apocalyptic number.

135938926200 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 135938926200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216000).

135938926200 is an abundant number, since it is smaller than the sum of its proper divisors (419775505800).

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

135938926200 is a wasteful number, since it uses less digits than its factorization.

135938926200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 135938926200 in words is "one hundred thirty-five billion, nine hundred thirty-eight million, nine hundred twenty-six thousand, two hundred".