131292720 has 240 divisors, whose sum is σ = 483406560. Its totient is φ = 31928832.

The previous prime is 131292709. The next prime is 131292743. The reversal of 131292720 is 27292131.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1581799 + ... + 1581881.

It is an arithmetic number, because the mean of its divisors is an integer number (2014194).

Almost surely, 2^131292720 is an apocalyptic number.

131292720 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 131292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

131292720 is an abundant number, since it is smaller than the sum of its proper divisors (352113840).

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

131292720 is a wasteful number, since it uses less digits than its factorization.

131292720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131292720 is about 11458.3035393552. The cubic root of 131292720 is about 508.2533095088.

The spelling of 131292720 in words is "one hundred thirty-one million, two hundred ninety-two thousand, seven hundred twenty".