131072500 has 120 divisors (see below), whose sum is σ = 319928840. Its totient is φ = 46656000.

The previous prime is 131072497. The next prime is 131072503. The reversal of 131072500 is 5270131.

It is an interprime number because it is at equal distance from previous prime (131072497) and next prime (131072503).

It can be written as a sum of positive squares in 20 ways, for example, as 123520996 + 7551504 = 11114^2 + 2748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131072503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1202446 + ... + 1202554.

Almost surely, 2^131072500 is an apocalyptic number.

131072500 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 131072500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159964420).

131072500 is an abundant number, since it is smaller than the sum of its proper divisors (188856340).

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

131072500 is a wasteful number, since it uses less digits than its factorization.

131072500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 131072500 is about 11448.6898813794. The cubic root of 131072500 is about 507.9689825441.

The spelling of 131072500 in words is "one hundred thirty-one million, seventy-two thousand, five hundred".