131397408 has 36 divisors (see below), whose sum is σ = 373662198. Its totient is φ = 43799040.

The previous prime is 131397349. The next prime is 131397421. The reversal of 131397408 is 804793131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 129686544 + 1710864 = 11388^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227833 + ... + 228408.

Almost surely, 2^131397408 is an apocalyptic number.

131397408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131397408 is an abundant number, since it is smaller than the sum of its proper divisors (242264790).

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

131397408 is a wasteful number, since it uses less digits than its factorization.

131397408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456257 (or 456246 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131397408 is about 11462.8708446008. The cubic root of 131397408 is about 508.3883611366.

The spelling of 131397408 in words is "one hundred thirty-one million, three hundred ninety-seven thousand, four hundred eight".