131694400 has 84 divisors (see below), whose sum is σ = 330377292. Its totient is φ = 51650560.

The previous prime is 131694379. The next prime is 131694403. The reversal of 131694400 is 4496131.

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 123121216 = 2928^2 + 11096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131694403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84024 + ... + 85576.

It is an arithmetic number, because the mean of its divisors is an integer number (3933063).

Almost surely, 2^131694400 is an apocalyptic number.

131694400 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 131694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165188646).

131694400 is an abundant number, since it is smaller than the sum of its proper divisors (198682892).

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

131694400 is a wasteful number, since it uses less digits than its factorization.

131694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 131694400 is about 11475.8180536291. The cubic root of 131694400 is about 508.7711024818.

The spelling of 131694400 in words is "one hundred thirty-one million, six hundred ninety-four thousand, four hundred".