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133523137 = 1121103497
BaseRepresentation
bin1111111010101…
…10011011000001
3100022020200022101
413331112123001
5233140220022
621125510401
73210633166
oct775263301
9308220271
10133523137
1169408a00
1238872401
1321880297
1413a3a06d
15bac7627
hex7f566c1

133523137 has 6 divisors (see below), whose sum is σ = 146765234. Its totient is φ = 121384560.

The previous prime is 133523113. The next prime is 133523153. The reversal of 133523137 is 731325331.

It can be written as a sum of positive squares in only one way, i.e., 121969936 + 11553201 = 11044^2 + 3399^2 .

It is a de Polignac number, because none of the positive numbers 2k-133523137 is a prime.

It is a super-4 number, since 4×1335231374 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133523197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551628 + ... + 551869.

Almost surely, 2133523137 is an apocalyptic number.

It is an amenable number.

133523137 is a deficient number, since it is larger than the sum of its proper divisors (13242097).

133523137 is a wasteful number, since it uses less digits than its factorization.

133523137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103519 (or 1103508 counting only the distinct ones).

The product of its digits is 5670, while the sum is 28.

The square root of 133523137 is about 11555.2212008252. The cubic root of 133523137 is about 511.1152538924.

Adding to 133523137 its reverse (731325331), we get a palindrome (864848468).

The spelling of 133523137 in words is "one hundred thirty-three million, five hundred twenty-three thousand, one hundred thirty-seven".

Divisors: 1 11 121 1103497 12138467 133523137