131642928 has 40 divisors (see below), whose sum is σ = 377865200. Its totient is φ = 43880832.

The previous prime is 131642891. The next prime is 131642933. The reversal of 131642928 is 829246131.

131642928 is a `hidden beast` number, since 1 + 3 + 1 + 642 + 9 + 2 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 131642892 and 131642901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151933 + ... + 152796.

It is an arithmetic number, because the mean of its divisors is an integer number (9446630).

Almost surely, 2^131642928 is an apocalyptic number.

131642928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131642928 is an abundant number, since it is smaller than the sum of its proper divisors (246222272).

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

131642928 is a wasteful number, since it uses less digits than its factorization.

131642928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304746 (or 304734 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 131642928 is about 11473.5752056628. The cubic root of 131642928 is about 508.7048104231.

It can be divided in two parts, 1316 and 42928, that added together give a palindrome (44244).

The spelling of 131642928 in words is "one hundred thirty-one million, six hundred forty-two thousand, nine hundred twenty-eight".