135582073650 has 36 divisors (see below), whose sum is σ = 364263839082. Its totient is φ = 36155219520.

The previous prime is 135582073643. The next prime is 135582073661. The reversal of 135582073650 is 56370285531.

135582073650 is a `hidden beast` number, since 1 + 3 + 5 + 582 + 0 + 7 + 3 + 65 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 114435388089 + 21146685561 = 338283^2 + 145419^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 135582073596 and 135582073605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150646299 + ... + 150647198.

Almost surely, 2^135582073650 is an apocalyptic number.

135582073650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135582073650 is an abundant number, since it is smaller than the sum of its proper divisors (228681765432).

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

135582073650 is a wasteful number, since it uses less digits than its factorization.

135582073650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301293515 (or 301293507 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 135582073650 in words is "one hundred thirty-five billion, five hundred eighty-two million, seventy-three thousand, six hundred fifty".