133741440 has 384 divisors, whose sum is σ = 549918720. Its totient is φ = 29306880.

The previous prime is 133741429. The next prime is 133741451. The reversal of 133741440 is 44147331.

It is an interprime number because it is at equal distance from previous prime (133741429) and next prime (133741451).

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

It is a super-3 number, since 3×133741440³ (a number of 25 digits) contains 333 as substring.

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, 1249867 + ... + 1249973.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^133741440 is an apocalyptic number.

133741440 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 133741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

133741440 is an abundant number, since it is smaller than the sum of its proper divisors (416177280).

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

133741440 is a wasteful number, since it uses less digits than its factorization.

133741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 133741440 is about 11564.6634192267. The cubic root of 133741440 is about 511.3936506881.

Adding to 133741440 its reverse (44147331), we get a palindrome (177888771).

The spelling of 133741440 in words is "one hundred thirty-three million, seven hundred forty-one thousand, four hundred forty".