131916960 has 288 divisors, whose sum is σ = 537788160. Its totient is φ = 28790784.

The previous prime is 131916959. The next prime is 131917003. The reversal of 131916960 is 69619131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231556 + ... + 232124.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^131916960 is an apocalyptic number.

131916960 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 131916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

131916960 is an abundant number, since it is smaller than the sum of its proper divisors (405871200).

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

131916960 is a wasteful number, since it uses less digits than its factorization.

131916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 131916960 is about 11485.5108723992. The cubic root of 131916960 is about 509.0575443502.

The spelling of 131916960 in words is "one hundred thirty-one million, nine hundred sixteen thousand, nine hundred sixty".