131706432 has 336 divisors, whose sum is σ = 468538560. Its totient is φ = 35942400.

The previous prime is 131706427. The next prime is 131706451. The reversal of 131706432 is 234607131.

131706432 is a `hidden beast` number, since 1 + 3 + 17 + 0 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131706396 and 131706405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3212332 + ... + 3212372.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 2^131706432 is an apocalyptic number.

131706432 is a gapful number since it is divisible by the number (12) 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 131706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234269280).

131706432 is an abundant number, since it is smaller than the sum of its proper divisors (336832128).

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

131706432 is a wasteful number, since it uses less digits than its factorization.

131706432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131706432 is about 11476.3422744357. The cubic root of 131706432 is about 508.7865963005.

The spelling of 131706432 in words is "one hundred thirty-one million, seven hundred six thousand, four hundred thirty-two".