131604480 has 448 divisors, whose sum is σ = 566196480. Its totient is φ = 28311552.

The previous prime is 131604457. The next prime is 131604481. The reversal of 131604480 is 84406131.

131604480 is a `hidden beast` number, since 13 + 1 + 604 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131604481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741432 + ... + 7741448.

Almost surely, 2^131604480 is an apocalyptic number.

131604480 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 131604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283098240).

131604480 is an abundant number, since it is smaller than the sum of its proper divisors (434592000).

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

131604480 is an equidigital number, since it uses as much as digits as its factorization.

131604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 131604480 is about 11471.8995811505. The cubic root of 131604480 is about 508.6552810199.

Adding to 131604480 its product of nonzero digits (2304), we get a square (131606784 = 11472²).

The spelling of 131604480 in words is "one hundred thirty-one million, six hundred four thousand, four hundred eighty".