131878944 has 36 divisors (see below), whose sum is σ = 375031566. Its totient is φ = 43959552.

The previous prime is 131878939. The next prime is 131878951. The reversal of 131878944 is 449878131.

131878944 = T₃₁₁₂ + T₃₁₁₃ + ... + T₃₁₃₈.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 128595600 + 3283344 = 11340^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131878944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228669 + ... + 229244.

Almost surely, 2^131878944 is an apocalyptic number.

It is an amenable number.

131878944 is an abundant number, since it is smaller than the sum of its proper divisors (243152622).

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

131878944 is a wasteful number, since it uses less digits than its factorization.

131878944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457929 (or 457918 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 131878944 is about 11483.8557984677. The cubic root of 131878944 is about 509.0086393651.

The spelling of 131878944 in words is "one hundred thirty-one million, eight hundred seventy-eight thousand, nine hundred forty-four".