133776240 has 160 divisors (see below), whose sum is σ = 455595840. Its totient is φ = 32268288.

The previous prime is 133776221. The next prime is 133776263. The reversal of 133776240 is 42677331.

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, 164956 + ... + 165764.

It is an arithmetic number, because the mean of its divisors is an integer number (2847474).

Almost surely, 2^133776240 is an apocalyptic number.

133776240 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 133776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227797920).

133776240 is an abundant number, since it is smaller than the sum of its proper divisors (321819600).

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

133776240 is a wasteful number, since it uses less digits than its factorization.

133776240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 133776240 is about 11566.1679047124. The cubic root of 133776240 is about 511.4380023259.

It can be divided in two parts, 1337 and 76240, that added together give a palindrome (77577).

The spelling of 133776240 in words is "one hundred thirty-three million, seven hundred seventy-six thousand, two hundred forty".