131632128 has 198 divisors, whose sum is σ = 412044724. Its totient is φ = 41969664.

The previous prime is 131632103. The next prime is 131632129. The reversal of 131632128 is 821236131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131632128 is a `hidden beast` number, since 1 + 3 + 1 + 632 + 1 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (131632129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5723125 + ... + 5723147.

Almost surely, 2^131632128 is an apocalyptic number.

131632128 is a gapful number since it is divisible by the number (18) 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 131632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206022362).

131632128 is an abundant number, since it is smaller than the sum of its proper divisors (280412596).

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

131632128 is an frugal number, since it uses more digits than its factorization.

131632128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 131632128 is about 11473.1045493362. The cubic root of 131632128 is about 508.6908986435.

Multiplying 131632128 by its sum of digits (27), we get a square (3554067456 = 59616²).

131632128 divided by its sum of digits (27) gives a square (4875264 = 2208²).

Multiplying 131632128 by its product of digits (1728), we get a square (227460317184 = 476928²).

131632128 divided by its product of digits (1728) gives a square (76176 = 276²).

Adding to 131632128 its reverse (821236131), we get a palindrome (952868259).

The spelling of 131632128 in words is "one hundred thirty-one million, six hundred thirty-two thousand, one hundred twenty-eight".