131484864 has 168 divisors, whose sum is σ = 421160448. Its totient is φ = 35458560.

The previous prime is 131484853. The next prime is 131484907. The reversal of 131484864 is 468484131.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×131484864² = 34576538922196992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485049 + ... + 485319.

Almost surely, 2^131484864 is an apocalyptic number.

131484864 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 131484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210580224).

131484864 is an abundant number, since it is smaller than the sum of its proper divisors (289675584).

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

131484864 is a wasteful number, since it uses less digits than its factorization.

131484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 302 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 131484864 is about 11466.6849612257. The cubic root of 131484864 is about 508.5011278254.

The spelling of 131484864 in words is "one hundred thirty-one million, four hundred eighty-four thousand, eight hundred sixty-four".