131885280 has 96 divisors (see below), whose sum is σ = 461613600. Its totient is φ = 35168256.

The previous prime is 131885267. The next prime is 131885293. The reversal of 131885280 is 82588131.

It is an interprime number because it is at equal distance from previous prime (131885267) and next prime (131885293).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10945 + ... + 19584.

It is an arithmetic number, because the mean of its divisors is an integer number (4808475).

Almost surely, 2^131885280 is an apocalyptic number.

131885280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131885280 is an abundant number, since it is smaller than the sum of its proper divisors (329728320).

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

131885280 is a wasteful number, since it uses less digits than its factorization.

131885280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30553 (or 30539 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 131885280 is about 11484.1316606873. The cubic root of 131885280 is about 509.0167908485.

The spelling of 131885280 in words is "one hundred thirty-one million, eight hundred eighty-five thousand, two hundred eighty".