131825928 has 64 divisors (see below), whose sum is σ = 356408640. Its totient is φ = 40391424.

The previous prime is 131825891. The next prime is 131825963. The reversal of 131825928 is 829528131.

It is a super-2 number, since 2×131825928² = 34756150586122368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87550 + ... + 89042.

It is an arithmetic number, because the mean of its divisors is an integer number (5568885).

Almost surely, 2^131825928 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 131825928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178204320).

131825928 is an abundant number, since it is smaller than the sum of its proper divisors (224582712).

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

131825928 is a wasteful number, since it uses less digits than its factorization.

131825928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1794 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 131825928 is about 11481.5472824877. The cubic root of 131825928 is about 508.9404222104.

It can be divided in two parts, 13182 and 5928, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 131825928 in words is "one hundred thirty-one million, eight hundred twenty-five thousand, nine hundred twenty-eight".