131670240 has 96 divisors (see below), whose sum is σ = 446687136. Its totient is φ = 32409600.

The previous prime is 131670181. The next prime is 131670251. The reversal of 131670240 is 42076131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×131670240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131670240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4311 + ... + 16790.

It is an arithmetic number, because the mean of its divisors is an integer number (4652991).

Almost surely, 2^131670240 is an apocalyptic number.

131670240 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 131670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223343568).

131670240 is an abundant number, since it is smaller than the sum of its proper divisors (315016896).

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

131670240 is a wasteful number, since it uses less digits than its factorization.

131670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21132 (or 21124 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 131670240 is about 11474.7653570781. The cubic root of 131670240 is about 508.7399883732.

The spelling of 131670240 in words is "one hundred thirty-one million, six hundred seventy thousand, two hundred forty".