131635920 has 160 divisors (see below), whose sum is σ = 453970944. Its totient is φ = 31334400.

The previous prime is 131635891. The next prime is 131635939. The reversal of 131635920 is 29536131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96040 + ... + 97400.

Almost surely, 2^131635920 is an apocalyptic number.

131635920 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 131635920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226985472).

131635920 is an abundant number, since it is smaller than the sum of its proper divisors (322335024).

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

131635920 is a wasteful number, since it uses less digits than its factorization.

131635920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 131635920 is about 11473.2698042014. The cubic root of 131635920 is about 508.6957833106.

The spelling of 131635920 in words is "one hundred thirty-one million, six hundred thirty-five thousand, nine hundred twenty".