133791840 has 288 divisors, whose sum is σ = 562476096. Its totient is φ = 28200960.

The previous prime is 133791817. The next prime is 133791857. The reversal of 133791840 is 48197331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133791795 and 133791804.

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, 130530 + ... + 131550.

It is an arithmetic number, because the mean of its divisors is an integer number (1953042).

Almost surely, 2^133791840 is an apocalyptic number.

133791840 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 133791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281238048).

133791840 is an abundant number, since it is smaller than the sum of its proper divisors (428684256).

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

133791840 is a wasteful number, since it uses less digits than its factorization.

133791840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 133791840 is about 11566.8422657180. The cubic root of 133791840 is about 511.4578815977.

The spelling of 133791840 in words is "one hundred thirty-three million, seven hundred ninety-one thousand, eight hundred forty".