131751216 has 120 divisors (see below), whose sum is σ = 383185296. Its totient is φ = 42232320.

The previous prime is 131751211. The next prime is 131751229. The reversal of 131751216 is 612157131.

131751216 is a `hidden beast` number, since 131 + 7 + 512 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131751216.

It is not an unprimeable number, because it can be changed into a prime (131751211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465411 + ... + 465693.

Almost surely, 2^131751216 is an apocalyptic number.

131751216 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 131751216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191592648).

131751216 is an abundant number, since it is smaller than the sum of its proper divisors (251434080).

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

131751216 is a wasteful number, since it uses less digits than its factorization.

131751216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 131751216 is about 11478.2932529187. The cubic root of 131751216 is about 508.8442571565.

The spelling of 131751216 in words is "one hundred thirty-one million, seven hundred fifty-one thousand, two hundred sixteen".