131504000 has 64 divisors (see below), whose sum is σ = 326991600. Its totient is φ = 52595200.

The previous prime is 131503991. The next prime is 131504003. The reversal of 131504000 is 405131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131504003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11891 + ... + 20109.

Almost surely, 2^131504000 is an apocalyptic number.

131504000 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 131504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163495800).

131504000 is an abundant number, since it is smaller than the sum of its proper divisors (195487600).

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

131504000 is an frugal number, since it uses more digits than its factorization.

131504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 131504000 is about 11467.5193481415. The cubic root of 131504000 is about 508.5257953176.

Adding to 131504000 its reverse (405131), we get a palindrome (131909131).

The spelling of 131504000 in words is "one hundred thirty-one million, five hundred four thousand".