131453600 has 72 divisors (see below), whose sum is σ = 329658588. Its totient is φ = 51148800.

The previous prime is 131453599. The next prime is 131453617. The reversal of 131453600 is 6354131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 69422224 + 62031376 = 8332^2 + 7876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27380 + ... + 31820.

Almost surely, 2^131453600 is an apocalyptic number.

131453600 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 131453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164829294).

131453600 is an abundant number, since it is smaller than the sum of its proper divisors (198204988).

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

131453600 is a wasteful number, since it uses less digits than its factorization.

131453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 131453600 is about 11465.3216265397. The cubic root of 131453600 is about 508.4608214383.

The spelling of 131453600 in words is "one hundred thirty-one million, four hundred fifty-three thousand, six hundred".