131258400 has 288 divisors, whose sum is σ = 526716288. Its totient is φ = 27648000.

The previous prime is 131258341. The next prime is 131258431. The reversal of 131258400 is 4852131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218100 + ... + 218700.

It is an arithmetic number, because the mean of its divisors is an integer number (1828876).

Almost surely, 2^131258400 is an apocalyptic number.

131258400 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 131258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263358144).

131258400 is an abundant number, since it is smaller than the sum of its proper divisors (395457888).

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

131258400 is a wasteful number, since it uses less digits than its factorization.

131258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 131258400 is about 11456.8058375797. The cubic root of 131258400 is about 508.2090197373.

It can be divided in two parts, 13125 and 8400, that multiplied together give a square (110250000 = 10500²).

The spelling of 131258400 in words is "one hundred thirty-one million, two hundred fifty-eight thousand, four hundred".