131963904 has 220 divisors, whose sum is σ = 414132664. Its totient is φ = 41803776.

The previous prime is 131963879. The next prime is 131963927. The reversal of 131963904 is 409369131.

131963904 is a `hidden beast` number, since 1 + 3 + 19 + 639 + 0 + 4 = 666.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3068907 + ... + 3068949.

Almost surely, 2^131963904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207066332).

131963904 is an abundant number, since it is smaller than the sum of its proper divisors (282168760).

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

131963904 is an equidigital number, since it uses as much as digits as its factorization.

131963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 131963904 is about 11487.5543089032. The cubic root of 131963904 is about 509.1179216341.

The spelling of 131963904 in words is "one hundred thirty-one million, nine hundred sixty-three thousand, nine hundred four".