131869440 has 108 divisors (see below), whose sum is σ = 456294384. Its totient is φ = 35162112.

The previous prime is 131869363. The next prime is 131869453. The reversal of 131869440 is 44968131.

131869440 is a `hidden beast` number, since 131 + 86 + 9 + 440 = 666.

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 = 131869395 and 131869404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5797 + ... + 17243.

It is an arithmetic number, because the mean of its divisors is an integer number (4224948).

Almost surely, 2^131869440 is an apocalyptic number.

131869440 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 131869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228147192).

131869440 is an abundant number, since it is smaller than the sum of its proper divisors (324424944).

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

131869440 is a wasteful number, since it uses less digits than its factorization.

131869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 131869440 is about 11483.4419927128. The cubic root of 131869440 is about 508.9964116503.

The spelling of 131869440 in words is "one hundred thirty-one million, eight hundred sixty-nine thousand, four hundred forty".