131652864 has 180 divisors, whose sum is σ = 449140384. Its totient is φ = 37573632.

The previous prime is 131652863. The next prime is 131652869. The reversal of 131652864 is 468256131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131652863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144699 + ... + 145605.

Almost surely, 2^131652864 is an apocalyptic number.

131652864 is a gapful number since it is divisible by the number (14) 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 131652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224570192).

131652864 is an abundant number, since it is smaller than the sum of its proper divisors (317487520).

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

131652864 is an frugal number, since it uses more digits than its factorization.

131652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 919 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 131652864 is about 11474.0081924321. The cubic root of 131652864 is about 508.7176085884.

The spelling of 131652864 in words is "one hundred thirty-one million, six hundred fifty-two thousand, eight hundred sixty-four".