131774328 has 144 divisors (see below), whose sum is σ = 425748960. Its totient is φ = 36691200.

The previous prime is 131774303. The next prime is 131774359. The reversal of 131774328 is 823477131.

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 = 131774292 and 131774301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144193 + ... + 145103.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2^131774328 is an apocalyptic number.

131774328 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 131774328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212874480).

131774328 is an abundant number, since it is smaller than the sum of its proper divisors (293974632).

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

131774328 is a wasteful number, since it uses less digits than its factorization.

131774328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 131774328 is about 11479.2999786572. The cubic root of 131774328 is about 508.8740094964.

The spelling of 131774328 in words is "one hundred thirty-one million, seven hundred seventy-four thousand, three hundred twenty-eight".