133666400 has 72 divisors (see below), whose sum is σ = 372944880. Its totient is φ = 45826560.

The previous prime is 133666399. The next prime is 133666411. The reversal of 133666400 is 4666331.

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, 6335 + ... + 17534.

It is an arithmetic number, because the mean of its divisors is an integer number (5179790).

Almost surely, 2^133666400 is an apocalyptic number.

133666400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133666400 is an abundant number, since it is smaller than the sum of its proper divisors (239278480).

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

133666400 is a wasteful number, since it uses less digits than its factorization.

133666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23896 (or 23883 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 133666400 is about 11561.4185980787. The cubic root of 133666400 is about 511.2979880948.

The spelling of 133666400 in words is "one hundred thirty-three million, six hundred sixty-six thousand, four hundred".