131874480 has 200 divisors, whose sum is σ = 468844992. Its totient is φ = 34338816.

The previous prime is 131874473. The next prime is 131874511. The reversal of 131874480 is 84478131.

131874480 = T₅₉ + T₆₀ + ... + T₉₂₄.

131874480 is a `hidden beast` number, since 131 + 87 + 448 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 304344 + ... + 304776.

Almost surely, 2^131874480 is an apocalyptic number.

131874480 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 131874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234422496).

131874480 is an abundant number, since it is smaller than the sum of its proper divisors (336970512).

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

131874480 is a wasteful number, since it uses less digits than its factorization.

131874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

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

The square root of 131874480 is about 11483.6614370156. The cubic root of 131874480 is about 509.0028961177.

The spelling of 131874480 in words is "one hundred thirty-one million, eight hundred seventy-four thousand, four hundred eighty".