133629408 has 72 divisors (see below), whose sum is σ = 414564696. Its totient is φ = 40492800.

The previous prime is 133629383. The next prime is 133629421. The reversal of 133629408 is 804926331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 17923 + ... + 24258.

It is an arithmetic number, because the mean of its divisors is an integer number (5757843).

Almost surely, 2^133629408 is an apocalyptic number.

133629408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133629408 is an abundant number, since it is smaller than the sum of its proper divisors (280935288).

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

133629408 is a wasteful number, since it uses less digits than its factorization.

133629408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42208 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 133629408 is about 11559.8186836992. The cubic root of 133629408 is about 511.2508167282.

The spelling of 133629408 in words is "one hundred thirty-three million, six hundred twenty-nine thousand, four hundred eight".