131745240 has 384 divisors, whose sum is σ = 525657600. Its totient is φ = 28200960.

The previous prime is 131745203. The next prime is 131745241. The reversal of 131745240 is 42547131.

131745240 is a `hidden beast` number, since 131 + 7 + 4 + 524 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131745241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1279029 + ... + 1279131.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 2^131745240 is an apocalyptic number.

131745240 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 131745240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262828800).

131745240 is an abundant number, since it is smaller than the sum of its proper divisors (393912360).

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

131745240 is a wasteful number, since it uses less digits than its factorization.

131745240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 131745240 is about 11478.0329325194. The cubic root of 131745240 is about 508.8365636178.

The spelling of 131745240 in words is "one hundred thirty-one million, seven hundred forty-five thousand, two hundred forty".