133640100 has 108 divisors (see below), whose sum is σ = 457002000. Its totient is φ = 32395200.

The previous prime is 133640093. The next prime is 133640107. The reversal of 133640100 is 1046331.

133640100 is a `hidden beast` number, since 13 + 3 + 640 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133640093) and next prime (133640107).

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 (133640107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3151 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 2^133640100 is an apocalyptic number.

133640100 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 133640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501000).

133640100 is an abundant number, since it is smaller than the sum of its proper divisors (323361900).

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

133640100 is a wasteful number, since it uses less digits than its factorization.

133640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13530 (or 13520 counting only the distinct ones).

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

The square root of 133640100 is about 11560.2811384499. The cubic root of 133640100 is about 511.2644518206.

Adding to 133640100 its reverse (1046331), we get a palindrome (134686431).

The spelling of 133640100 in words is "one hundred thirty-three million, six hundred forty thousand, one hundred".