135683352540 has 144 divisors (see below), whose sum is σ = 426724945920. Its totient is φ = 34860481920.

The previous prime is 135683352533. The next prime is 135683352557. The reversal of 135683352540 is 45253386531.

135683352540 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 83 + 3 + 525 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213101 + ... + 1320219.

It is an arithmetic number, because the mean of its divisors is an integer number (2963367680).

Almost surely, 2^135683352540 is an apocalyptic number.

135683352540 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 135683352540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213362472960).

135683352540 is an abundant number, since it is smaller than the sum of its proper divisors (291041593380).

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

135683352540 is a wasteful number, since it uses less digits than its factorization.

135683352540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107392 (or 107387 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 135683352540 in words is "one hundred thirty-five billion, six hundred eighty-three million, three hundred fifty-two thousand, five hundred forty".