131887980 has 384 divisors, whose sum is σ = 514805760. Its totient is φ = 27371520.

The previous prime is 131887979. The next prime is 131887997. The reversal of 131887980 is 89788131.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3216760 + ... + 3216800.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^131887980 is an apocalyptic number.

131887980 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 131887980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

131887980 is an abundant number, since it is smaller than the sum of its proper divisors (382917780).

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

131887980 is a wasteful number, since it uses less digits than its factorization.

131887980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 131887980 is about 11484.2492135969. The cubic root of 131887980 is about 509.0202644127.

It can be divided in two parts, 1318 and 87980, that added together give a palindrome (89298).

The spelling of 131887980 in words is "one hundred thirty-one million, eight hundred eighty-seven thousand, nine hundred eighty".