135379085952000 has 352 divisors, whose sum is σ = 491259950273664. Its totient is φ = 32819171328000.

The previous prime is 135379085951951. The next prime is 135379085952007. The reversal of 135379085952000 is 259580973531.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (135379085952007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11800987 + ... + 20248986.

It is an arithmetic number, because the mean of its divisors is an integer number (1395624858732).

Almost surely, 2^{135379085952000} is an apocalyptic number.

135379085952000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135379085952000 is an abundant number, since it is smaller than the sum of its proper divisors (355880864321664).

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

135379085952000 is a wasteful number, since it uses less digits than its factorization.

135379085952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050022 (or 32049994 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 135379085952000 in words is "one hundred thirty-five trillion, three hundred seventy-nine billion, eighty-five million, nine hundred fifty-two thousand".