135950013795 has 192 divisors, whose sum is σ = 252365912064. Its totient is φ = 62208368640.

The previous prime is 135950013763. The next prime is 135950013803. The reversal of 135950013795 is 597310059531.

It is a Cunningham number, because it is equal to 368714²-1.

It is not a de Polignac number, because 135950013795 - 2⁵ = 135950013763 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259942404 + ... + 259942926.

It is an arithmetic number, because the mean of its divisors is an integer number (1314405792).

Almost surely, 2^135950013795 is an apocalyptic number.

135950013795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135950013795 is a deficient number, since it is larger than the sum of its proper divisors (116415898269).

135950013795 is a wasteful number, since it uses less digits than its factorization.

135950013795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 637875, while the sum is 48.

The spelling of 135950013795 in words is "one hundred thirty-five billion, nine hundred fifty million, thirteen thousand, seven hundred ninety-five".