131335440 has 80 divisors (see below), whose sum is σ = 413860416. Its totient is φ = 34444800.

The previous prime is 131335439. The next prime is 131335453. The reversal of 131335440 is 44533131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 131335440.

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, 10155 + ... + 19125.

Almost surely, 2^131335440 is an apocalyptic number.

131335440 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 131335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206930208).

131335440 is an abundant number, since it is smaller than the sum of its proper divisors (282524976).

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

131335440 is a wasteful number, since it uses less digits than its factorization.

131335440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 131335440 is about 11460.1675380424. The cubic root of 131335440 is about 508.3084286524.

Adding to 131335440 its reverse (44533131), we get a palindrome (175868571).

The spelling of 131335440 in words is "one hundred thirty-one million, three hundred thirty-five thousand, four hundred forty".