133778304 has 384 divisors, whose sum is σ = 481178880. Its totient is φ = 36495360.

The previous prime is 133778279. The next prime is 133778329. The reversal of 133778304 is 403877331.

It is an interprime number because it is at equal distance from previous prime (133778279) and next prime (133778329).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×133778304² = 35793269242232832, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5816437 + ... + 5816459.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^133778304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

133778304 is an abundant number, since it is smaller than the sum of its proper divisors (347400576).

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

133778304 is a wasteful number, since it uses less digits than its factorization.

133778304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 133778304 is about 11566.2571301178. The cubic root of 133778304 is about 511.4406325952.

The spelling of 133778304 in words is "one hundred thirty-three million, seven hundred seventy-eight thousand, three hundred four".