133504140 has 288 divisors, whose sum is σ = 489065472. Its totient is φ = 26611200.

The previous prime is 133504117. The next prime is 133504141. The reversal of 133504140 is 41405331.

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

It is not an unprimeable number, because it can be changed into a prime (133504141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1880305 + ... + 1880375.

It is an arithmetic number, because the mean of its divisors is an integer number (1698144).

Almost surely, 2^133504140 is an apocalyptic number.

133504140 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 133504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244532736).

133504140 is an abundant number, since it is smaller than the sum of its proper divisors (355561332).

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

133504140 is a wasteful number, since it uses less digits than its factorization.

133504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 133504140 is about 11554.3991622239. The cubic root of 133504140 is about 511.0910131074.

Adding to 133504140 its reverse (41405331), we get a palindrome (174909471).

The spelling of 133504140 in words is "one hundred thirty-three million, five hundred four thousand, one hundred forty".