133644000 has 384 divisors, whose sum is σ = 525837312. Its totient is φ = 29030400.

The previous prime is 133643971. The next prime is 133644011. The reversal of 133644000 is 446331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3107979 + ... + 3108021.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 2^133644000 is an apocalyptic number.

133644000 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 133644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262918656).

133644000 is an abundant number, since it is smaller than the sum of its proper divisors (392193312).

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

133644000 is a wasteful number, since it uses less digits than its factorization.

133644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 133644000 is about 11560.4498182380. The cubic root of 133644000 is about 511.2694251581.

The spelling of 133644000 in words is "one hundred thirty-three million, six hundred forty-four thousand".