131931936 has 96 divisors (see below), whose sum is σ = 395297280. Its totient is φ = 42778368.

The previous prime is 131931881. The next prime is 131931941. The reversal of 131931936 is 639139131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131931936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29905 + ... + 34031.

It is an arithmetic number, because the mean of its divisors is an integer number (4117680).

Almost surely, 2^131931936 is an apocalyptic number.

131931936 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 131931936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197648640).

131931936 is an abundant number, since it is smaller than the sum of its proper divisors (263365344).

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

131931936 is a wasteful number, since it uses less digits than its factorization.

131931936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4169 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 131931936 is about 11486.1628057415. The cubic root of 131931936 is about 509.0768073707.

It can be divided in two parts, 13193 and 1936, that added together give a square (15129 = 123²).

The spelling of 131931936 in words is "one hundred thirty-one million, nine hundred thirty-one thousand, nine hundred thirty-six".