131905620 has 288 divisors, whose sum is σ = 516612096. Its totient is φ = 26438400.

The previous prime is 131905573. The next prime is 131905643. The reversal of 131905620 is 26509131.

131905620 is a `hidden beast` number, since 1 + 31 + 9 + 0 + 5 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429507 + ... + 429813.

It is an arithmetic number, because the mean of its divisors is an integer number (1793792).

Almost surely, 2^131905620 is an apocalyptic number.

131905620 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 131905620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258306048).

131905620 is an abundant number, since it is smaller than the sum of its proper divisors (384706476).

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

131905620 is a wasteful number, since it uses less digits than its factorization.

131905620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 131905620 is about 11485.0171963302. The cubic root of 131905620 is about 509.0429571989.

The spelling of 131905620 in words is "one hundred thirty-one million, nine hundred five thousand, six hundred twenty".