135193115040 has 96 divisors (see below), whose sum is σ = 431692099776. Its totient is φ = 35557632000.

The previous prime is 135193115027. The next prime is 135193115041. The reversal of 135193115040 is 40511391531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 135193114992 and 135193115010.

It is not an unprimeable number, because it can be changed into a prime (135193115041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1894086 + ... + 1964165.

It is an arithmetic number, because the mean of its divisors is an integer number (4496792706).

Almost surely, 2^135193115040 is an apocalyptic number.

135193115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135193115040 is an abundant number, since it is smaller than the sum of its proper divisors (296498984736).

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

135193115040 is a wasteful number, since it uses less digits than its factorization.

135193115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858342 (or 3858334 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 135193115040 in words is "one hundred thirty-five billion, one hundred ninety-three million, one hundred fifteen thousand, forty".