135892050528 has 192 divisors, whose sum is σ = 393333276672. Its totient is φ = 40818677760.

The previous prime is 135892050499. The next prime is 135892050559. The reversal of 135892050528 is 825050298531.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24691425 + ... + 24696927.

It is an arithmetic number, because the mean of its divisors is an integer number (2048610816).

Almost surely, 2^135892050528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135892050528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196666638336).

135892050528 is an abundant number, since it is smaller than the sum of its proper divisors (257441226144).

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

135892050528 is a wasteful number, since it uses less digits than its factorization.

135892050528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 135892050528 in words is "one hundred thirty-five billion, eight hundred ninety-two million, fifty thousand, five hundred twenty-eight".