131754216 has 128 divisors (see below), whose sum is σ = 393154560. Its totient is φ = 36326400.

The previous prime is 131754173. The next prime is 131754229. The reversal of 131754216 is 612457131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138655 + ... + 139601.

It is an arithmetic number, because the mean of its divisors is an integer number (3071520).

Almost surely, 2^131754216 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 131754216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196577280).

131754216 is an abundant number, since it is smaller than the sum of its proper divisors (261400344).

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

131754216 is a wasteful number, since it uses less digits than its factorization.

131754216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 131754216 is about 11478.4239336243. The cubic root of 131754216 is about 508.8481192871.

It can be divided in two parts, 13175 and 4216, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 131754216 in words is "one hundred thirty-one million, seven hundred fifty-four thousand, two hundred sixteen".