131270400 has 324 divisors, whose sum is σ = 489296808. Its totient is φ = 33546240.

The previous prime is 131270387. The next prime is 131270423. The reversal of 131270400 is 4072131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476774 + ... + 2476826.

Almost surely, 2^131270400 is an apocalyptic number.

131270400 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 131270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244648404).

131270400 is an abundant number, since it is smaller than the sum of its proper divisors (358026408).

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

131270400 is a wasteful number, since it uses less digits than its factorization.

131270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 131270400 is about 11457.3295317888. The cubic root of 131270400 is about 508.2245065490.

The spelling of 131270400 in words is "one hundred thirty-one million, two hundred seventy thousand, four hundred".