131653500 has 192 divisors, whose sum is σ = 427714560. Its totient is φ = 31200000.

The previous prime is 131653499. The next prime is 131653507. The reversal of 131653500 is 5356131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131653507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303450 + ... + 1303550.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^131653500 is an apocalyptic number.

131653500 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 131653500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

131653500 is an abundant number, since it is smaller than the sum of its proper divisors (296061060).

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

131653500 is a wasteful number, since it uses less digits than its factorization.

131653500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 131653500 is about 11474.0359072124. The cubic root of 131653500 is about 508.7184277727.

The spelling of 131653500 in words is "one hundred thirty-one million, six hundred fifty-three thousand, five hundred".