133511712 has 48 divisors (see below), whose sum is σ = 352537920. Its totient is φ = 44241152.

The previous prime is 133511641. The next prime is 133511731. The reversal of 133511712 is 217115331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12589 + ... + 20627.

It is an arithmetic number, because the mean of its divisors is an integer number (7344540).

Almost surely, 2^133511712 is an apocalyptic number.

133511712 is a gapful number since it is divisible by the number (12) 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 133511712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176268960).

133511712 is an abundant number, since it is smaller than the sum of its proper divisors (219026208).

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

133511712 is a wasteful number, since it uses less digits than its factorization.

133511712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225 (or 8217 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 133511712 is about 11554.7268249838. The cubic root of 133511712 is about 511.1006754993.

The spelling of 133511712 in words is "one hundred thirty-three million, five hundred eleven thousand, seven hundred twelve".