131534184960 has 640 divisors, whose sum is σ = 502510694400. Its totient is φ = 32507412480.

The previous prime is 131534184959. The next prime is 131534184989. The reversal of 131534184960 is 69481435131.

131534184960 is a `hidden beast` number, since 1 + 3 + 1 + 534 + 18 + 49 + 60 = 666.

131534184960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61723095 + ... + 61725225.

It is an arithmetic number, because the mean of its divisors is an integer number (785172960).

Almost surely, 2^131534184960 is an apocalyptic number.

131534184960 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 131534184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251255347200).

131534184960 is an abundant number, since it is smaller than the sum of its proper divisors (370976509440).

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

131534184960 is a wasteful number, since it uses less digits than its factorization.

131534184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 1315341 and 84960, that added together give a triangular number (1400301 = T₁₆₇₃).

The spelling of 131534184960 in words is "one hundred thirty-one billion, five hundred thirty-four million, one hundred eighty-four thousand, nine hundred sixty".