131878512 has 60 divisors (see below), whose sum is σ = 374612680. Its totient is φ = 43300224.

The previous prime is 131878507. The next prime is 131878517. The reversal of 131878512 is 215878131.

131878512 is a `hidden beast` number, since 131 + 8 + 7 + 8 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (131878507) and next prime (131878517).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131878517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2814 + ... + 16482.

Almost surely, 2^131878512 is an apocalyptic number.

131878512 is a gapful number since it is divisible by the number (12) 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 131878512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187306340).

131878512 is an abundant number, since it is smaller than the sum of its proper divisors (242734168).

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

131878512 is a wasteful number, since it uses less digits than its factorization.

131878512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750 (or 13741 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 131878512 is about 11483.8369894387. The cubic root of 131878512 is about 509.0080835726.

The spelling of 131878512 in words is "one hundred thirty-one million, eight hundred seventy-eight thousand, five hundred twelve".