131564600046 has 192 divisors, whose sum is σ = 344058624000. Its totient is φ = 35864389440.

The previous prime is 131564599967. The next prime is 131564600077. The reversal of 131564600046 is 640006465131.

It is a happy number.

131564600046 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 6 + 4 + 600 + 0 + 46 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12021645 + ... + 12032583.

It is an arithmetic number, because the mean of its divisors is an integer number (1791972000).

Almost surely, 2^131564600046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131564600046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172029312000).

131564600046 is an abundant number, since it is smaller than the sum of its proper divisors (212494023954).

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

131564600046 is a wasteful number, since it uses less digits than its factorization.

131564600046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 131564600046 in words is "one hundred thirty-one billion, five hundred sixty-four million, six hundred thousand, forty-six".