131776021969152 has 288 divisors, whose sum is σ = 388976919883776. Its totient is φ = 39266888294400.

The previous prime is 131776021969127. The next prime is 131776021969171. The reversal of 131776021969152 is 251969120677131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021599153 + ... + 2021664335.

It is an arithmetic number, because the mean of its divisors is an integer number (1350614305152).

Almost surely, 2^{131776021969152} is an apocalyptic number.

131776021969152 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 131776021969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194488459941888).

131776021969152 is an abundant number, since it is smaller than the sum of its proper divisors (257200897914624).

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

131776021969152 is a wasteful number, since it uses less digits than its factorization.

131776021969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69197 (or 69183 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 60.

The spelling of 131776021969152 in words is "one hundred thirty-one trillion, seven hundred seventy-six billion, twenty-one million, nine hundred sixty-nine thousand, one hundred fifty-two".