131700367064448 has 768 divisors, whose sum is σ = 476275979088000. Its totient is φ = 34710957195264.

The previous prime is 131700367064437. The next prime is 131700367064459. The reversal of 131700367064448 is 844460763007131.

It is a happy number.

131700367064448 is a `hidden beast` number, since 1 + 3 + 1 + 70 + 0 + 3 + 6 + 70 + 64 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (131700367064437) and next prime (131700367064459).

It is a super-3 number, since 3×131700367064448³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131700367064394 and 131700367064403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8511616840 + ... + 8511632312.

Almost surely, 2^{131700367064448} is an apocalyptic number.

131700367064448 is a gapful number since it is divisible by the number (18) 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 131700367064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238137989544000).

131700367064448 is an abundant number, since it is smaller than the sum of its proper divisors (344575612023552).

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

131700367064448 is a wasteful number, since it uses less digits than its factorization.

131700367064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17184 (or 17155 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 131700367064448 in words is "one hundred thirty-one trillion, seven hundred billion, three hundred sixty-seven million, sixty-four thousand, four hundred forty-eight".