131349600 has 180 divisors, whose sum is σ = 479242764. Its totient is φ = 35009280.

The previous prime is 131349577. The next prime is 131349607. The reversal of 131349600 is 6943131.

131349600 is a `hidden beast` number, since 1 + 3 + 13 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131349607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63787 + ... + 65813.

Almost surely, 2^131349600 is an apocalyptic number.

131349600 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 131349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239621382).

131349600 is an abundant number, since it is smaller than the sum of its proper divisors (347893164).

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

131349600 is a wasteful number, since it uses less digits than its factorization.

131349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131349600 is about 11460.7853134068. The cubic root of 131349600 is about 508.3266958433.

The spelling of 131349600 in words is "one hundred thirty-one million, three hundred forty-nine thousand, six hundred".