131534865 has 216 divisors, whose sum is σ = 319311720. Its totient is φ = 49674240.

The previous prime is 131534863. The next prime is 131534867. The reversal of 131534865 is 568435131.

It is an interprime number because it is at equal distance from previous prime (131534863) and next prime (131534867).

It can be written as a sum of positive squares in 4 ways, for example, as 28227969 + 103306896 = 5313^2 + 10164^2 .

It is not a de Polignac number, because 131534865 - 2¹ = 131534863 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (43200) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131534863) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4535671 + ... + 4535699.

It is an arithmetic number, because the mean of its divisors is an integer number (1478295).

Almost surely, 2^131534865 is an apocalyptic number.

131534865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131534865 is an abundant number, since it is smaller than the sum of its proper divisors (187776855).

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

131534865 is a wasteful number, since it uses less digits than its factorization.

131534865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 131534865 is about 11468.8650266711. The cubic root of 131534865 is about 508.5655771769.

Adding to 131534865 its reverse (568435131), we get a palindrome (699969996).

The spelling of 131534865 in words is "one hundred thirty-one million, five hundred thirty-four thousand, eight hundred sixty-five".