133541136 has 105 divisors (see below), whose sum is σ = 391585831. Its totient is φ = 44097696.

The previous prime is 133541129. The next prime is 133541153. The reversal of 133541136 is 631145331.

The square root of 133541136 is 11556.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1247995 + ... + 1248101.

Almost surely, 2^133541136 is an apocalyptic number.

133541136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133541136 is the 11556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133541136

133541136 is an abundant number, since it is smaller than the sum of its proper divisors (258044695).

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

133541136 is an frugal number, since it uses more digits than its factorization.

133541136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 112 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The cubic root of 133541136 is about 511.1382190761.

Adding to 133541136 its reverse (631145331), we get a palindrome (764686467).

The spelling of 133541136 in words is "one hundred thirty-three million, five hundred forty-one thousand, one hundred thirty-six".