131152000 has 128 divisors (see below), whose sum is σ = 372977280. Its totient is φ = 44928000.

The previous prime is 131151997. The next prime is 131152001. The reversal of 131152000 is 251131.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (131152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111415 + ... + 112585.

It is an arithmetic number, because the mean of its divisors is an integer number (2913885).

Almost surely, 2^131152000 is an apocalyptic number.

131152000 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 131152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186488640).

131152000 is an abundant number, since it is smaller than the sum of its proper divisors (241825280).

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

131152000 is an equidigital number, since it uses as much as digits as its factorization.

131152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 131152000 is about 11452.1613680563. The cubic root of 131152000 is about 508.0716620337.

The spelling of 131152000 in words is "one hundred thirty-one million, one hundred fifty-two thousand".