133362240 has 224 divisors, whose sum is σ = 470952576. Its totient is φ = 31703040.

The previous prime is 133362233. The next prime is 133362247. The reversal of 133362240 is 42263331.

It is an interprime number because it is at equal distance from previous prime (133362233) and next prime (133362247).

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 133362240.

It is not an unprimeable number, because it can be changed into a prime (133362247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770794 + ... + 770966.

Almost surely, 2^133362240 is an apocalyptic number.

133362240 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 133362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235476288).

133362240 is an abundant number, since it is smaller than the sum of its proper divisors (337590336).

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

133362240 is a wasteful number, since it uses less digits than its factorization.

133362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 133362240 is about 11548.2570113416. The cubic root of 133362240 is about 510.9098713469.

It can be divided in two parts, 13336 and 2240, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 133362240 in words is "one hundred thirty-three million, three hundred sixty-two thousand, two hundred forty".