133788576 has 96 divisors (see below), whose sum is σ = 378907200. Its totient is φ = 41195520.

The previous prime is 133788563. The next prime is 133788581. The reversal of 133788576 is 675887331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73890 + ... + 75678.

It is an arithmetic number, because the mean of its divisors is an integer number (3946950).

Almost surely, 2^133788576 is an apocalyptic number.

133788576 is a gapful number since it is divisible by the number (16) 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 133788576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189453600).

133788576 is an abundant number, since it is smaller than the sum of its proper divisors (245118624).

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

133788576 is a wasteful number, since it uses less digits than its factorization.

133788576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 133788576 is about 11566.7011718986. The cubic root of 133788576 is about 511.4537223702.

The spelling of 133788576 in words is "one hundred thirty-three million, seven hundred eighty-eight thousand, five hundred seventy-six".