131646240 has 144 divisors (see below), whose sum is σ = 490142016. Its totient is φ = 31910400.

The previous prime is 131646211. The next prime is 131646241. The reversal of 131646240 is 42646131.

131646240 is a `hidden beast` number, since 1 + 31 + 6 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×131646240² = 34661465012275200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131646241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11685 + ... + 19995.

It is an arithmetic number, because the mean of its divisors is an integer number (3403764).

Almost surely, 2^131646240 is an apocalyptic number.

131646240 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 131646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245071008).

131646240 is an abundant number, since it is smaller than the sum of its proper divisors (358495776).

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

131646240 is a wasteful number, since it uses less digits than its factorization.

131646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131646240 is about 11473.7195364014. The cubic root of 131646240 is about 508.7090765498.

The spelling of 131646240 in words is "one hundred thirty-one million, six hundred forty-six thousand, two hundred forty".