131382834 has 64 divisors (see below), whose sum is σ = 319541760. Its totient is φ = 35493120.

The previous prime is 131382829. The next prime is 131382857. The reversal of 131382834 is 438283131.

It is a super-2 number, since 2×131382834² = 34522898139743112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 131382795 and 131382804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18237 + ... + 24399.

It is an arithmetic number, because the mean of its divisors is an integer number (4992840).

Almost surely, 2^131382834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131382834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159770880).

131382834 is an abundant number, since it is smaller than the sum of its proper divisors (188158926).

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

131382834 is a wasteful number, since it uses less digits than its factorization.

131382834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215.

The product of its digits is 13824, while the sum is 33.

The square root of 131382834 is about 11462.2351223485. The cubic root of 131382834 is about 508.3695644038.

The spelling of 131382834 in words is "one hundred thirty-one million, three hundred eighty-two thousand, eight hundred thirty-four".