132102600 has 192 divisors, whose sum is σ = 475683840. Its totient is φ = 29702400.

The previous prime is 132102583. The next prime is 132102601. The reversal of 132102600 is 6201231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132102600.

It is not an unprimeable number, because it can be changed into a prime (132102601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297979 + ... + 298421.

It is an arithmetic number, because the mean of its divisors is an integer number (2477520).

Almost surely, 2^132102600 is an apocalyptic number.

132102600 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 132102600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237841920).

132102600 is an abundant number, since it is smaller than the sum of its proper divisors (343581240).

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

132102600 is a wasteful number, since it uses less digits than its factorization.

132102600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132102600 is about 11493.5895176398. The cubic root of 132102600 is about 509.2962226524.

Adding to 132102600 its reverse (6201231), we get a palindrome (138303831).

The spelling of 132102600 in words is "one hundred thirty-two million, one hundred two thousand, six hundred".