133111296 has 80 divisors (see below), whose sum is σ = 394059600. Its totient is φ = 44365824.

The previous prime is 133111271. The next prime is 133111301. The reversal of 133111296 is 692111331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9010 + ... + 18638.

It is an arithmetic number, because the mean of its divisors is an integer number (4925745).

Almost surely, 2^133111296 is an apocalyptic number.

133111296 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 133111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197029800).

133111296 is an abundant number, since it is smaller than the sum of its proper divisors (260948304).

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

133111296 is an frugal number, since it uses more digits than its factorization.

133111296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9656 (or 9634 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 133111296 is about 11537.3868791854. The cubic root of 133111296 is about 510.5892151972.

The spelling of 133111296 in words is "one hundred thirty-three million, one hundred eleven thousand, two hundred ninety-six".