131506788 has 72 divisors (see below), whose sum is σ = 359738400. Its totient is φ = 37279872.

The previous prime is 131506787. The next prime is 131506807. The reversal of 131506788 is 887605131.

It is not an unprimeable number, because it can be changed into a prime (131506783) 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, 80928 + ... + 82536.

Almost surely, 2^131506788 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 131506788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179869200).

131506788 is an abundant number, since it is smaller than the sum of its proper divisors (228231612).

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

131506788 is a wasteful number, since it uses less digits than its factorization.

131506788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 131506788 is about 11467.6409082252. The cubic root of 131506788 is about 508.5293890230.

The spelling of 131506788 in words is "one hundred thirty-one million, five hundred six thousand, seven hundred eighty-eight".