131067840 has 112 divisors (see below), whose sum is σ = 418429440. Its totient is φ = 34759680.

The previous prime is 131067821. The next prime is 131067889. The reversal of 131067840 is 48760131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131067798 and 131067807.

It is a congruent number.

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, 298341 + ... + 298779.

Almost surely, 2^131067840 is an apocalyptic number.

131067840 is a gapful number since it is divisible by the number (10) 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 131067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209214720).

131067840 is an abundant number, since it is smaller than the sum of its proper divisors (287361600).

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

131067840 is a wasteful number, since it uses less digits than its factorization.

131067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 131067840 is about 11448.4863628342. The cubic root of 131067840 is about 507.9629625590.

The spelling of 131067840 in words is "one hundred thirty-one million, sixty-seven thousand, eight hundred forty".