135610333136 has 40 divisors (see below), whose sum is σ = 273629529000. Its totient is φ = 65027648000.

The previous prime is 135610333129. The next prime is 135610333147. The reversal of 135610333136 is 631333016531.

It can be written as a sum of positive squares in 4 ways, for example, as 3655411600 + 131954921536 = 60460^2 + 363256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135610333096 and 135610333105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911615 + ... + 1049886.

It is an arithmetic number, because the mean of its divisors is an integer number (6840738225).

Almost surely, 2^135610333136 is an apocalyptic number.

135610333136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135610333136 is an abundant number, since it is smaller than the sum of its proper divisors (138019195864).

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

135610333136 is a wasteful number, since it uses less digits than its factorization.

135610333136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961687 (or 1961681 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 35.

Adding to 135610333136 its reverse (631333016531), we get a palindrome (766943349667).

The spelling of 135610333136 in words is "one hundred thirty-five billion, six hundred ten million, three hundred thirty-three thousand, one hundred thirty-six".