133460100 has 108 divisors (see below), whose sum is σ = 420678804. Its totient is φ = 35389440.

The previous prime is 133460083. The next prime is 133460101. The reversal of 133460100 is 1064331.

It can be written as a sum of positive squares in 6 ways, for example, as 35212356 + 98247744 = 5934^2 + 9912^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133460101) 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 35 ways as a sum of consecutive naturals, for example, 231012 + ... + 231588.

Almost surely, 2^133460100 is an apocalyptic number.

133460100 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 133460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210339402).

133460100 is an abundant number, since it is smaller than the sum of its proper divisors (287218704).

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

133460100 is a wasteful number, since it uses less digits than its factorization.

133460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133460100 is about 11552.4932373925. The cubic root of 133460100 is about 511.0348078000.

The spelling of 133460100 in words is "one hundred thirty-three million, four hundred sixty thousand, one hundred".