131635420 has 192 divisors, whose sum is σ = 365783040. Its totient is φ = 38707200.

The previous prime is 131635397. The next prime is 131635451. The reversal of 131635420 is 24536131.

131635420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1853985 + ... + 1854055.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^131635420 is an apocalyptic number.

131635420 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 131635420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

131635420 is an abundant number, since it is smaller than the sum of its proper divisors (234147620).

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

131635420 is a wasteful number, since it uses less digits than its factorization.

131635420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 131635420 is about 11473.2480144029. The cubic root of 131635420 is about 508.6951392407.

The spelling of 131635420 in words is "one hundred thirty-one million, six hundred thirty-five thousand, four hundred twenty".