131508820 has 48 divisors (see below), whose sum is σ = 291207168. Its totient is φ = 49812480.

The previous prime is 131508809. The next prime is 131508833. The reversal of 131508820 is 28805131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26884 + ... + 31396.

It is an arithmetic number, because the mean of its divisors is an integer number (6066816).

Almost surely, 2^131508820 is an apocalyptic number.

131508820 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 131508820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145603584).

131508820 is an abundant number, since it is smaller than the sum of its proper divisors (159698348).

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

131508820 is a wasteful number, since it uses less digits than its factorization.

131508820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 131508820 is about 11467.7295050066. The cubic root of 131508820 is about 508.5320082196.

The spelling of 131508820 in words is "one hundred thirty-one million, five hundred eight thousand, eight hundred twenty".