131356500 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 30096000.

The previous prime is 131356471. The next prime is 131356513. The reversal of 131356500 is 5653131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313291 + ... + 313709.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^131356500 is an apocalyptic number.

131356500 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 131356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

131356500 is an abundant number, since it is smaller than the sum of its proper divisors (308937900).

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

131356500 is a wasteful number, since it uses less digits than its factorization.

131356500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 131356500 is about 11461.0863359456. The cubic root of 131356500 is about 508.3355967530.

The spelling of 131356500 in words is "one hundred thirty-one million, three hundred fifty-six thousand, five hundred".