133269136 has 160 divisors (see below), whose sum is σ = 355477248. Its totient is φ = 46725120.

The previous prime is 133269133. The next prime is 133269139. The reversal of 133269136 is 631962331.

It is an interprime number because it is at equal distance from previous prime (133269133) and next prime (133269139).

It is a super-2 number, since 2×133269136² = 35521325220372992, which contains 22 as substring.

Its product of digits (17496) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (133269131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848770 + ... + 848926.

Almost surely, 2^133269136 is an apocalyptic number.

133269136 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 133269136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177738624).

133269136 is an abundant number, since it is smaller than the sum of its proper divisors (222208112).

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

133269136 is a wasteful number, since it uses less digits than its factorization.

133269136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 17496, while the sum is 34.

The square root of 133269136 is about 11544.2252230282. The cubic root of 133269136 is about 510.7909500629.

The spelling of 133269136 in words is "one hundred thirty-three million, two hundred sixty-nine thousand, one hundred thirty-six".