135141973152 has 96 divisors (see below), whose sum is σ = 363568020480. Its totient is φ = 43941031680.

The previous prime is 135141973121. The next prime is 135141973181. The reversal of 135141973152 is 251379141531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522127 + ... + 736817.

It is an arithmetic number, because the mean of its divisors is an integer number (3787166880).

Almost surely, 2^135141973152 is an apocalyptic number.

135141973152 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 135141973152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181784010240).

135141973152 is an abundant number, since it is smaller than the sum of its proper divisors (228426047328).

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

135141973152 is a wasteful number, since it uses less digits than its factorization.

135141973152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214866 (or 214858 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The spelling of 135141973152 in words is "one hundred thirty-five billion, one hundred forty-one million, nine hundred seventy-three thousand, one hundred fifty-two".