131801880 has 256 divisors, whose sum is σ = 479001600. Its totient is φ = 28385280.

The previous prime is 131801849. The next prime is 131801899. The reversal of 131801880 is 88108131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

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, 1480876 + ... + 1480964.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^131801880 is an apocalyptic number.

131801880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11480×11481.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131801880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

131801880 is an abundant number, since it is smaller than the sum of its proper divisors (347199720).

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

131801880 is a wasteful number, since it uses less digits than its factorization.

131801880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 131801880 is about 11480.4999891120. The cubic root of 131801880 is about 508.9094729534.

It can be divided in two parts, 131 and 801880, that added together give a triangular number (802011 = T₁₂₆₆).

The spelling of 131801880 in words is "one hundred thirty-one million, eight hundred one thousand, eight hundred eighty".