131478480 has 240 divisors, whose sum is σ = 531573120. Its totient is φ = 28449792.

The previous prime is 131478463. The next prime is 131478481. The reversal of 131478480 is 84874131.

131478480 is a `hidden beast` number, since 131 + 47 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×131478480² = 34573181406220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131478481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95074 + ... + 96446.

It is an arithmetic number, because the mean of its divisors is an integer number (2214888).

Almost surely, 2^131478480 is an apocalyptic number.

131478480 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 131478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265786560).

131478480 is an abundant number, since it is smaller than the sum of its proper divisors (400094640).

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

131478480 is a wasteful number, since it uses less digits than its factorization.

131478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

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

The square root of 131478480 is about 11466.4065861978. The cubic root of 131478480 is about 508.4928979206.

The spelling of 131478480 in words is "one hundred thirty-one million, four hundred seventy-eight thousand, four hundred eighty".