132848100 has 432 divisors, whose sum is σ = 545965056. Its totient is φ = 27216000.

The previous prime is 132848087. The next prime is 132848119. The reversal of 132848100 is 1848231.

It is a super-2 number, since 2×132848100² = 35297235347220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1871065 + ... + 1871135.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^132848100 is an apocalyptic number.

132848100 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 132848100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

132848100 is an abundant number, since it is smaller than the sum of its proper divisors (413116956).

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

132848100 is a wasteful number, since it uses less digits than its factorization.

132848100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132848100 is about 11525.9750129870. The cubic root of 132848100 is about 510.2524701524.

The spelling of 132848100 in words is "one hundred thirty-two million, eight hundred forty-eight thousand, one hundred".