131607828 has 126 divisors (see below), whose sum is σ = 380576042. Its totient is φ = 39774240.

The previous prime is 131607811. The next prime is 131607869. The reversal of 131607828 is 828706131.

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 17288964 = 10692^2 + 4158^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 131607792 and 131607801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352650 + ... + 353022.

Almost surely, 2^131607828 is an apocalyptic number.

131607828 is a gapful number since it is divisible by the number (18) 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 131607828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190288021).

131607828 is an abundant number, since it is smaller than the sum of its proper divisors (248968214).

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

131607828 is a wasteful number, since it uses less digits than its factorization.

131607828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 131607828 is about 11472.0455020018. The cubic root of 131607828 is about 508.6595943570.

The spelling of 131607828 in words is "one hundred thirty-one million, six hundred seven thousand, eight hundred twenty-eight".