135952598928000 has 256 divisors, whose sum is σ = 459186324330240. Its totient is φ = 35569987481600.

The previous prime is 135952598927989. The next prime is 135952598928023. The reversal of 135952598928000 is 829895259531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24176244 + ... + 29264243.

It is an arithmetic number, because the mean of its divisors is an integer number (1793696579415).

Almost surely, 2^{135952598928000} is an apocalyptic number.

135952598928000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135952598928000 is an abundant number, since it is smaller than the sum of its proper divisors (323233725402240).

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

135952598928000 is an equidigital number, since it uses as much as digits as its factorization.

135952598928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53440572 (or 53440550 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 66.

The spelling of 135952598928000 in words is "one hundred thirty-five trillion, nine hundred fifty-two billion, five hundred ninety-eight million, nine hundred twenty-eight thousand".