133629000 has 64 divisors (see below), whose sum is σ = 416931840. Its totient is φ = 35633600.

The previous prime is 133628977. The next prime is 133629017. The reversal of 133629000 is 926331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19272 + ... + 25271.

It is an arithmetic number, because the mean of its divisors is an integer number (6514560).

Almost surely, 2^133629000 is an apocalyptic number.

133629000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133629000 is an abundant number, since it is smaller than the sum of its proper divisors (283302840).

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

133629000 is a wasteful number, since it uses less digits than its factorization.

133629000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44567 (or 44553 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 133629000 is about 11559.8010363501. The cubic root of 133629000 is about 511.2502964073.

The spelling of 133629000 in words is "one hundred thirty-three million, six hundred twenty-nine thousand".