133399411783560 has 768 divisors, whose sum is σ = 471858158116800. Its totient is φ = 32490563567616.

The previous prime is 133399411783513. The next prime is 133399411783567. The reversal of 133399411783560 is 65387114993331.

It is a happy number.

133399411783560 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 99 + 411 + 7 + 83 + 56 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 636890186916 + 132762521596644 = 798054^2 + 11522262^2 .

It is not an unprimeable number, because it can be changed into a prime (133399411783567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160916057226 + ... + 160916058054.

Almost surely, 2^{133399411783560} is an apocalyptic number.

133399411783560 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 133399411783560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235929079058400).

133399411783560 is an abundant number, since it is smaller than the sum of its proper divisors (338458746333240).

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

133399411783560 is a wasteful number, since it uses less digits than its factorization.

133399411783560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 133399411783560 in words is "one hundred thirty-three trillion, three hundred ninety-nine billion, four hundred eleven million, seven hundred eighty-three thousand, five hundred sixty".