131604480000 has 1360 divisors, whose sum is σ = 589630757760. Its totient is φ = 28311552000.

The previous prime is 131604479989. The next prime is 131604480011. The reversal of 131604480000 is 84406131.

131604480000 is a `hidden beast` number, since 13 + 1 + 604 + 48 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131604479989) and next prime (131604480011).

It is a tau number, because it is divible by the number of its divisors (1360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7741439992 + ... + 7741440008.

Almost surely, 2^131604480000 is an apocalyptic number.

131604480000 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 131604480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294815378880).

131604480000 is an abundant number, since it is smaller than the sum of its proper divisors (458026277760).

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

131604480000 is an frugal number, since it uses more digits than its factorization.

131604480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

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

Adding to 131604480000 its reverse (84406131), we get a palindrome (131688886131).

The spelling of 131604480000 in words is "one hundred thirty-one billion, six hundred four million, four hundred eighty thousand".