133645100 has 36 divisors (see below), whose sum is σ = 292601064. Its totient is φ = 52980480.

The previous prime is 133645067. The next prime is 133645121. The reversal of 133645100 is 1546331.

It is a happy number.

It is a super-2 number, since 2×133645100² = 35722025508020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5387 + ... + 17213.

Almost surely, 2^133645100 is an apocalyptic number.

133645100 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 133645100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146300532).

133645100 is an abundant number, since it is smaller than the sum of its proper divisors (158955964).

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

133645100 is a wasteful number, since it uses less digits than its factorization.

133645100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11947 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 133645100 is about 11560.4973941436. The cubic root of 133645100 is about 511.2708278768.

The spelling of 133645100 in words is "one hundred thirty-three million, six hundred forty-five thousand, one hundred".