131088420 has 36 divisors (see below), whose sum is σ = 397635420. Its totient is φ = 34956864.

The previous prime is 131088401. The next prime is 131088427. The reversal of 131088420 is 24880131.

131088420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55711296 + 75377124 = 7464^2 + 8682^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (131088427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363955 + ... + 364314.

Almost surely, 2^131088420 is an apocalyptic number.

131088420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131088420 is an abundant number, since it is smaller than the sum of its proper divisors (266547000).

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

131088420 is a wasteful number, since it uses less digits than its factorization.

131088420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728284 (or 728279 counting only the distinct ones).

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

The square root of 131088420 is about 11449.3851363294. The cubic root of 131088420 is about 507.9895475974.

It can be divided in two parts, 13108 and 8420, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 131088420 in words is "one hundred thirty-one million, eighty-eight thousand, four hundred twenty".