135610260040 has 64 divisors (see below), whose sum is σ = 323567310960. Its totient is φ = 50974924800.

The previous prime is 135610260029. The next prime is 135610260059. The reversal of 135610260040 is 40062016531.

It can be written as a sum of positive squares in 8 ways, for example, as 17330669316 + 118279590724 = 131646^2 + 343918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135610259990 and 135610260008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291340 + ... + 596740.

Almost surely, 2^135610260040 is an apocalyptic number.

135610260040 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 135610260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161783655480).

135610260040 is an abundant number, since it is smaller than the sum of its proper divisors (187957050920).

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

135610260040 is a wasteful number, since it uses less digits than its factorization.

135610260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306082 (or 306078 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 135610260040 its reverse (40062016531), we get a palindrome (175672276571).

The spelling of 135610260040 in words is "one hundred thirty-five billion, six hundred ten million, two hundred sixty thousand, forty".