131274552240 has 480 divisors, whose sum is σ = 507999360960. Its totient is φ = 30108672000.

The previous prime is 131274552193. The next prime is 131274552257. The reversal of 131274552240 is 42255472131.

131274552240 is a `hidden beast` number, since 1 + 3 + 12 + 74 + 552 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 131274552195 and 131274552204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10842190 + ... + 10854290.

It is an arithmetic number, because the mean of its divisors is an integer number (1058332002).

Almost surely, 2^131274552240 is an apocalyptic number.

131274552240 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 131274552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253999680480).

131274552240 is an abundant number, since it is smaller than the sum of its proper divisors (376724808720).

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

131274552240 is a wasteful number, since it uses less digits than its factorization.

131274552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 131274552240 in words is "one hundred thirty-one billion, two hundred seventy-four million, five hundred fifty-two thousand, two hundred forty".