131727001190400 has 3672 divisors, whose sum is σ = 606983719305600. Its totient is φ = 26720442777600.

The previous prime is 131727001190377. The next prime is 131727001190503. The reversal of 131727001190400 is 4091100727131.

131727001190400 is a `hidden beast` number, since 1 + 3 + 1 + 72 + 70 + 0 + 119 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 661944729501 + ... + 661944729699.

Almost surely, 2^{131727001190400} is an apocalyptic number.

131727001190400 is a gapful number since it is divisible by the number (10) 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 131727001190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303491859652800).

131727001190400 is an abundant number, since it is smaller than the sum of its proper divisors (475256718115200).

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

131727001190400 is a wasteful number, since it uses less digits than its factorization.

131727001190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 131727001190400 in words is "one hundred thirty-one trillion, seven hundred twenty-seven billion, one million, one hundred ninety thousand, four hundred".