131378400 has 216 divisors, whose sum is σ = 471626064. Its totient is φ = 34406400.

The previous prime is 131378393. The next prime is 131378411. The reversal of 131378400 is 4873131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 511072 + ... + 511328.

It is an arithmetic number, because the mean of its divisors is an integer number (2183454).

Almost surely, 2^131378400 is an apocalyptic number.

131378400 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 131378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235813032).

131378400 is an abundant number, since it is smaller than the sum of its proper divisors (340247664).

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

131378400 is a wasteful number, since it uses less digits than its factorization.

131378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131378400 is about 11462.0417029428. The cubic root of 131378400 is about 508.3638454019.

The spelling of 131378400 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, four hundred".