131448900 has 144 divisors (see below), whose sum is σ = 422347968. Its totient is φ = 31296000.

The previous prime is 131448899. The next prime is 131448929. The reversal of 131448900 is 9844131.

It is a happy number.

It is a super-2 number, since 2×131448900² = 34557626622420000, which contains 22 as substring.

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

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, 200974 + ... + 201626.

It is an arithmetic number, because the mean of its divisors is an integer number (2932972).

Almost surely, 2^131448900 is an apocalyptic number.

131448900 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 131448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211173984).

131448900 is an abundant number, since it is smaller than the sum of its proper divisors (290899068).

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

131448900 is a wasteful number, since it uses less digits than its factorization.

131448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131448900 is about 11465.1166588047. The cubic root of 131448900 is about 508.4547615198.

The spelling of 131448900 in words is "one hundred thirty-one million, four hundred forty-eight thousand, nine hundred".