131932416 has 288 divisors, whose sum is σ = 461518848. Its totient is φ = 32440320.

The previous prime is 131932403. The next prime is 131932429. The reversal of 131932416 is 614239131.

It is an interprime number because it is at equal distance from previous prime (131932403) and next prime (131932429).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1360080 + ... + 1360176.

It is an arithmetic number, because the mean of its divisors is an integer number (1602496).

Almost surely, 2^131932416 is an apocalyptic number.

131932416 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 131932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230759424).

131932416 is an abundant number, since it is smaller than the sum of its proper divisors (329586432).

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

131932416 is a wasteful number, since it uses less digits than its factorization.

131932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 131932416 is about 11486.1837004290. The cubic root of 131932416 is about 509.0774247511.

The spelling of 131932416 in words is "one hundred thirty-one million, nine hundred thirty-two thousand, four hundred sixteen".