131460336 has 180 divisors, whose sum is σ = 442513344. Its totient is φ = 36288000.

The previous prime is 131460311. The next prime is 131460347. The reversal of 131460336 is 633064131.

131460336 is a `hidden beast` number, since 13 + 14 + 603 + 36 = 666.

131460336 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218436 + ... + 219036.

Almost surely, 2^131460336 is an apocalyptic number.

131460336 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 131460336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221256672).

131460336 is an abundant number, since it is smaller than the sum of its proper divisors (311053008).

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

131460336 is a wasteful number, since it uses less digits than its factorization.

131460336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 131460336 is about 11465.6153781644. The cubic root of 131460336 is about 508.4695062102.

The spelling of 131460336 in words is "one hundred thirty-one million, four hundred sixty thousand, three hundred thirty-six".