131849927000064 has 1260 divisors, whose sum is σ = 493686969857004. Its totient is φ = 34759338098688.

The previous prime is 131849927000053. The next prime is 131849927000069. The reversal of 131849927000064 is 460000729948131.

131849927000064 is a `hidden beast` number, since 13 + 18 + 499 + 2 + 70 + 0 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75848771174400 + 56001155825664 = 8709120^2 + 7483392^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131849927000069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54103374654 + ... + 54103377090.

Almost surely, 2^{131849927000064} is an apocalyptic number.

131849927000064 is a gapful number since it is divisible by the number (14) 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 131849927000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246843484928502).

131849927000064 is an abundant number, since it is smaller than the sum of its proper divisors (361837042856940).

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

131849927000064 is an frugal number, since it uses more digits than its factorization.

131849927000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 131849927000064 in words is "one hundred thirty-one trillion, eight hundred forty-nine billion, nine hundred twenty-seven million, sixty-four", and thus it is an aban number.