133694400 has 336 divisors, whose sum is σ = 526109184. Its totient is φ = 29061120.

The previous prime is 133694347. The next prime is 133694401. The reversal of 133694400 is 4496331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133694401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772714 + ... + 772886.

Almost surely, 2^133694400 is an apocalyptic number.

133694400 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 133694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263054592).

133694400 is an abundant number, since it is smaller than the sum of its proper divisors (392414784).

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

133694400 is a wasteful number, since it uses less digits than its factorization.

133694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 133694400 is about 11562.6294587347. The cubic root of 133694400 is about 511.3336872786. Note that the first 3 decimals are identical.

The spelling of 133694400 in words is "one hundred thirty-three million, six hundred ninety-four thousand, four hundred".