133777416 has 64 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 43371008.

The previous prime is 133777387. The next prime is 133777417. The reversal of 133777416 is 614777331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133777417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262570 + ... + 263078.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2^133777416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133777416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

133777416 is an abundant number, since it is smaller than the sum of its proper divisors (209921784).

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

133777416 is a wasteful number, since it uses less digits than its factorization.

133777416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 133777416 is about 11566.2187425277. The cubic root of 133777416 is about 511.4395009710.

The spelling of 133777416 in words is "one hundred thirty-three million, seven hundred seventy-seven thousand, four hundred sixteen".