135586772860 has 192 divisors, whose sum is σ = 382791951360. Its totient is φ = 39059712000.

The previous prime is 135586772843. The next prime is 135586772861. The reversal of 135586772860 is 68277685531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135586772795 and 135586772804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135586772861) 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, 1143150 + ... + 1256170.

It is an arithmetic number, because the mean of its divisors is an integer number (1993708080).

Almost surely, 2^135586772860 is an apocalyptic number.

135586772860 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 135586772860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191395975680).

135586772860 is an abundant number, since it is smaller than the sum of its proper divisors (247205178500).

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

135586772860 is a wasteful number, since it uses less digits than its factorization.

135586772860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113108 (or 113106 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 135586772860 in words is "one hundred thirty-five billion, five hundred eighty-six million, seven hundred seventy-two thousand, eight hundred sixty".