133740240 has 160 divisors (see below), whose sum is σ = 441638400. Its totient is φ = 33384960.

The previous prime is 133740223. The next prime is 133740251. The reversal of 133740240 is 42047331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133740240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633735 + ... + 633945.

It is an arithmetic number, because the mean of its divisors is an integer number (2760240).

Almost surely, 2^133740240 is an apocalyptic number.

133740240 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 133740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220819200).

133740240 is an abundant number, since it is smaller than the sum of its proper divisors (307898160).

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

133740240 is a wasteful number, since it uses less digits than its factorization.

133740240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 133740240 is about 11564.6115369259. The cubic root of 133740240 is about 511.3921211841.

Adding to 133740240 its reverse (42047331), we get a palindrome (175787571).

The spelling of 133740240 in words is "one hundred thirty-three million, seven hundred forty thousand, two hundred forty".