131415408 has 120 divisors (see below), whose sum is σ = 381792528. Its totient is φ = 42172416.

The previous prime is 131415407. The next prime is 131415413. The reversal of 131415408 is 804514131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131415407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511216 + ... + 511472.

Almost surely, 2^131415408 is an apocalyptic number.

131415408 is a gapful number since it is divisible by the number (18) 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 131415408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190896264).

131415408 is an abundant number, since it is smaller than the sum of its proper divisors (250377120).

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

131415408 is a wasteful number, since it uses less digits than its factorization.

131415408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 131415408 is about 11463.6559613415. The cubic root of 131415408 is about 508.4115746150.

Adding to 131415408 its reverse (804514131), we get a palindrome (935929539).

The spelling of 131415408 in words is "one hundred thirty-one million, four hundred fifteen thousand, four hundred eight".