132561300 has 72 divisors (see below), whose sum is σ = 385662816. Its totient is φ = 35154560.

The previous prime is 132561293. The next prime is 132561307. The reversal of 132561300 is 3165231.

It is an interprime number because it is at equal distance from previous prime (132561293) and next prime (132561307).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132561307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57979 + ... + 60221.

It is an arithmetic number, because the mean of its divisors is an integer number (5356428).

Almost surely, 2^132561300 is an apocalyptic number.

132561300 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 132561300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192831408).

132561300 is an abundant number, since it is smaller than the sum of its proper divisors (253101516).

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

132561300 is a wasteful number, since it uses less digits than its factorization.

132561300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 132561300 is about 11513.5268271716. The cubic root of 132561300 is about 509.8850182926.

The spelling of 132561300 in words is "one hundred thirty-two million, five hundred sixty-one thousand, three hundred".