131878656 has 432 divisors, whose sum is σ = 508906944. Its totient is φ = 31850496.

The previous prime is 131878651. The next prime is 131878697. The reversal of 131878656 is 656878131.

Its product of digits (241920) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131878651) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3564270 + ... + 3564306.

Almost surely, 2^131878656 is an apocalyptic number.

131878656 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 131878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254453472).

131878656 is an abundant number, since it is smaller than the sum of its proper divisors (377028288).

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

131878656 is a wasteful number, since it uses less digits than its factorization.

131878656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 131878656 is about 11483.8432591184. The cubic root of 131878656 is about 509.0082688369.

The spelling of 131878656 in words is "one hundred thirty-one million, eight hundred seventy-eight thousand, six hundred fifty-six".