132749100 has 324 divisors, whose sum is σ = 486250128. Its totient is φ = 30201600.

The previous prime is 132749093. The next prime is 132749101. The reversal of 132749100 is 1947231.

It is not an unprimeable number, because it can be changed into a prime (132749101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2504674 + ... + 2504726.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^132749100 is an apocalyptic number.

132749100 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 132749100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

132749100 is an abundant number, since it is smaller than the sum of its proper divisors (353501028).

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

132749100 is a wasteful number, since it uses less digits than its factorization.

132749100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132749100 is about 11521.6795650634. The cubic root of 132749100 is about 510.1256898977.

The spelling of 132749100 in words is "one hundred thirty-two million, seven hundred forty-nine thousand, one hundred".