133750368 has 144 divisors (see below), whose sum is σ = 400038912. Its totient is φ = 42336000.

The previous prime is 133750363. The next prime is 133750417. The reversal of 133750368 is 863057331.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133750363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633783 + ... + 633993.

It is an arithmetic number, because the mean of its divisors is an integer number (2778048).

Almost surely, 2^133750368 is an apocalyptic number.

133750368 is a gapful number since it is divisible by the number (18) 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 133750368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200019456).

133750368 is an abundant number, since it is smaller than the sum of its proper divisors (266288544).

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

133750368 is a wasteful number, since it uses less digits than its factorization.

133750368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133750368 is about 11565.0494162368. The cubic root of 133750368 is about 511.4050299109.

The spelling of 133750368 in words is "one hundred thirty-three million, seven hundred fifty thousand, three hundred sixty-eight".