131498400 has 288 divisors, whose sum is σ = 496093248. Its totient is φ = 29900800.

The previous prime is 131498387. The next prime is 131498401. The reversal of 131498400 is 4894131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131498401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448654 + ... + 448946.

It is an arithmetic number, because the mean of its divisors is an integer number (1722546).

Almost surely, 2^131498400 is an apocalyptic number.

131498400 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 131498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248046624).

131498400 is an abundant number, since it is smaller than the sum of its proper divisors (364594848).

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

131498400 is a wasteful number, since it uses less digits than its factorization.

131498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131498400 is about 11467.2751776523. The cubic root of 131498400 is about 508.5185768176.

The spelling of 131498400 in words is "one hundred thirty-one million, four hundred ninety-eight thousand, four hundred".