133888040 has 128 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 44267520.

The previous prime is 133888031. The next prime is 133888061. The reversal of 133888040 is 40888331.

It is a Cunningham number, because it is equal to 11571²-1.

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, 508949 + ... + 509211.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^133888040 is an apocalyptic number.

133888040 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 133888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

133888040 is an abundant number, since it is smaller than the sum of its proper divisors (225363160).

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

133888040 is a wasteful number, since it uses less digits than its factorization.

133888040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 133888040 is about 11570.9999567885. Note that the first 4 decimals coincide. The cubic root of 133888040 is about 511.5804363074.

The spelling of 133888040 in words is "one hundred thirty-three million, eight hundred eighty-eight thousand, forty".