131753315627088 has 160 divisors (see below), whose sum is σ = 345862978531200. Its totient is φ = 43214519820288.

The previous prime is 131753315627083. The next prime is 131753315627099. The reversal of 131753315627088 is 880726513357131.

131753315627088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131753315627083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489310798 + ... + 489579986.

It is an arithmetic number, because the mean of its divisors is an integer number (2161643615820).

Almost surely, 2^{131753315627088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131753315627088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172931489265600).

131753315627088 is an abundant number, since it is smaller than the sum of its proper divisors (214109662904112).

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

131753315627088 is a wasteful number, since it uses less digits than its factorization.

131753315627088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269949 (or 269943 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 131753315627088 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, three hundred fifteen million, six hundred twenty-seven thousand, eighty-eight".