131748480 has 192 divisors, whose sum is σ = 461845800. Its totient is φ = 34603008.

The previous prime is 131748443. The next prime is 131748497. The reversal of 131748480 is 84847131.

131748480 is a `hidden beast` number, since 1 + 3 + 174 + 8 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120297024 + 11451456 = 10968^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512512 + ... + 512768.

Almost surely, 2^131748480 is an apocalyptic number.

131748480 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 131748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230922900).

131748480 is an abundant number, since it is smaller than the sum of its proper divisors (330097320).

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

131748480 is a wasteful number, since it uses less digits than its factorization.

131748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 131748480 is about 11478.1740708181. The cubic root of 131748480 is about 508.8407348424.

The spelling of 131748480 in words is "one hundred thirty-one million, seven hundred forty-eight thousand, four hundred eighty".