131552000 has 72 divisors (see below), whose sum is σ = 327792192. Its totient is φ = 52608000.

The previous prime is 131551999. The next prime is 131552011. The reversal of 131552000 is 255131.

It is a self number, because there is not a number n which added to its sum of digits gives 131552000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29945 + ... + 34055.

Almost surely, 2^131552000 is an apocalyptic number.

131552000 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 131552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163896096).

131552000 is an abundant number, since it is smaller than the sum of its proper divisors (196240192).

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

131552000 is an frugal number, since it uses more digits than its factorization.

131552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 131552000 is about 11469.6120248246. The cubic root of 131552000 is about 508.5876597702.

The spelling of 131552000 in words is "one hundred thirty-one million, five hundred fifty-two thousand".