131341465737216 has 384 divisors, whose sum is σ = 459978232896000. Its totient is φ = 36232125382656.

The previous prime is 131341465737193. The next prime is 131341465737259. The reversal of 131341465737216 is 612737564143131.

It is a happy number.

131341465737216 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 1 + 46 + 573 + 7 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 5374735 + ... + 17075441.

It is an arithmetic number, because the mean of its divisors is an integer number (1197859981500).

Almost surely, 2^{131341465737216} is an apocalyptic number.

131341465737216 is a gapful number since it is divisible by the number (16) 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 131341465737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229989116448000).

131341465737216 is an abundant number, since it is smaller than the sum of its proper divisors (328636767158784).

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

131341465737216 is a wasteful number, since it uses less digits than its factorization.

131341465737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11700774 (or 11700748 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 131341465737216 in words is "one hundred thirty-one trillion, three hundred forty-one billion, four hundred sixty-five million, seven hundred thirty-seven thousand, two hundred sixteen".