131421408 has 48 divisors (see below), whose sum is σ = 348356736. Its totient is φ = 43378560.

The previous prime is 131421401. The next prime is 131421439. The reversal of 131421408 is 804124131.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131421401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3243 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (7257432).

Almost surely, 2^131421408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131421408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174178368).

131421408 is an abundant number, since it is smaller than the sum of its proper divisors (216935328).

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

131421408 is a wasteful number, since it uses less digits than its factorization.

131421408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407 (or 13399 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 131421408 is about 11463.9176549729. The cubic root of 131421408 is about 508.4193119701.

Adding to 131421408 its reverse (804124131), we get a palindrome (935545539).

It can be divided in two parts, 1314 and 21408, that added together give a palindrome (22722).

The spelling of 131421408 in words is "one hundred thirty-one million, four hundred twenty-one thousand, four hundred eight".