131451840 has 168 divisors, whose sum is σ = 487058208. Its totient is φ = 32348160.

The previous prime is 131451797. The next prime is 131451847. The reversal of 131451840 is 48154131.

It is a happy number.

131451840 is a `hidden beast` number, since 131 + 451 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131451847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35685 + ... + 39195.

It is an arithmetic number, because the mean of its divisors is an integer number (2899156).

Almost surely, 2^131451840 is an apocalyptic number.

131451840 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 131451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243529104).

131451840 is an abundant number, since it is smaller than the sum of its proper divisors (355606368).

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

131451840 is a wasteful number, since it uses less digits than its factorization.

131451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 131451840 is about 11465.2448730936. The cubic root of 131451840 is about 508.4585522091.

The spelling of 131451840 in words is "one hundred thirty-one million, four hundred fifty-one thousand, eight hundred forty".