131402880 has 192 divisors, whose sum is σ = 518731200. Its totient is φ = 30025728.

The previous prime is 131402867. The next prime is 131402891. The reversal of 131402880 is 88204131.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38691 + ... + 41949.

It is an arithmetic number, because the mean of its divisors is an integer number (2701725).

Almost surely, 2^131402880 is an apocalyptic number.

131402880 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 131402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259365600).

131402880 is an abundant number, since it is smaller than the sum of its proper divisors (387328320).

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

131402880 is a wasteful number, since it uses less digits than its factorization.

131402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 131402880 is about 11463.1095257788. The cubic root of 131402880 is about 508.3954182583.

The spelling of 131402880 in words is "one hundred thirty-one million, four hundred two thousand, eight hundred eighty".