133742712 has 32 divisors (see below), whose sum is σ = 334788480. Its totient is φ = 44523360.

The previous prime is 133742681. The next prime is 133742717. The reversal of 133742712 is 217247331.

It is a super-2 number, since 2×133742712² = 35774226026229888, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133742712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133742717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18037 + ... + 24347.

It is an arithmetic number, because the mean of its divisors is an integer number (10462140).

Almost surely, 2^133742712 is an apocalyptic number.

133742712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133742712 is an abundant number, since it is smaller than the sum of its proper divisors (201045768).

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

133742712 is a wasteful number, since it uses less digits than its factorization.

133742712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7199 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 133742712 is about 11564.7184142114. The cubic root of 133742712 is about 511.3952719524.

The spelling of 133742712 in words is "one hundred thirty-three million, seven hundred forty-two thousand, seven hundred twelve".