131763240 has 256 divisors, whose sum is σ = 520128000. Its totient is φ = 29030400.

The previous prime is 131763239. The next prime is 131763257. The reversal of 131763240 is 42367131.

131763240 is a `hidden beast` number, since 13 + 17 + 632 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218940 + ... + 219540.

It is an arithmetic number, because the mean of its divisors is an integer number (2031750).

Almost surely, 2^131763240 is an apocalyptic number.

131763240 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 131763240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260064000).

131763240 is an abundant number, since it is smaller than the sum of its proper divisors (388364760).

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

131763240 is a wasteful number, since it uses less digits than its factorization.

131763240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131763240 is about 11478.8170122186. The cubic root of 131763240 is about 508.8597362224.

The spelling of 131763240 in words is "one hundred thirty-one million, seven hundred sixty-three thousand, two hundred forty".