135582073649 has 64 divisors (see below), whose sum is σ = 165208522752. Its totient is φ = 109813017600.

The previous prime is 135582073643. The next prime is 135582073661. The reversal of 135582073649 is 946370285531.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-135582073649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135582073649.

It is not an unprimeable number, because it can be changed into a prime (135582073643) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 186494924 + ... + 186495650.

It is an arithmetic number, because the mean of its divisors is an integer number (2581383168).

It is a 1-persistent number, because it is pandigital, but 2⋅135582073649 = 271164147298 is not.

Almost surely, 2^135582073649 is an apocalyptic number.

It is an amenable number.

135582073649 is a deficient number, since it is larger than the sum of its proper divisors (29626449103).

135582073649 is a wasteful number, since it uses less digits than its factorization.

135582073649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 135582073649 in words is "one hundred thirty-five billion, five hundred eighty-two million, seventy-three thousand, six hundred forty-nine".