131362128 has 160 divisors (see below), whose sum is σ = 412830720. Its totient is φ = 39813120.

The previous prime is 131362123. The next prime is 131362129. The reversal of 131362128 is 821263131.

It is a happy number.

131362128 is a `hidden beast` number, since 1 + 3 + 13 + 621 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131362123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227376 + ... + 227952.

It is an arithmetic number, because the mean of its divisors is an integer number (2580192).

Almost surely, 2^131362128 is an apocalyptic number.

131362128 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 131362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206415360).

131362128 is an abundant number, since it is smaller than the sum of its proper divisors (281468592).

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

131362128 is a wasteful number, since it uses less digits than its factorization.

131362128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 131362128 is about 11461.3318597796. The cubic root of 131362128 is about 508.3428565686.

The spelling of 131362128 in words is "one hundred thirty-one million, three hundred sixty-two thousand, one hundred twenty-eight".