135792290465592 has 128 divisors (see below), whose sum is σ = 350856787752960. Its totient is φ = 43750856540160.

The previous prime is 135792290465477. The next prime is 135792290465603. The reversal of 135792290465592 is 295564092297531.

It is a super-4 number, since 4×135792290465592⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2768026728 + ... + 2768075784.

It is an arithmetic number, because the mean of its divisors is an integer number (2741068654320).

Almost surely, 2^{135792290465592} is an apocalyptic number.

135792290465592 is a gapful number since it is divisible by the number (12) 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 135792290465592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175428393876480).

135792290465592 is an abundant number, since it is smaller than the sum of its proper divisors (215064497287368).

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

135792290465592 is a wasteful number, since it uses less digits than its factorization.

135792290465592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53533 (or 53529 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 69.

The spelling of 135792290465592 in words is "one hundred thirty-five trillion, seven hundred ninety-two billion, two hundred ninety million, four hundred sixty-five thousand, five hundred ninety-two".