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133002152 = 23173131547
BaseRepresentation
bin1111110110101…
…11001110101000
3100021021012122122
413323113032220
5233022032102
621110410412
73203333243
oct773271650
9307235578
10133002152
1169092538
1238660a08
132172a0ca
141394225a
15ba230a2
hex7ed73a8

133002152 has 32 divisors (see below), whose sum is σ = 272574720. Its totient is φ = 60568320.

The previous prime is 133002119. The next prime is 133002157. The reversal of 133002152 is 251200331.

It is a super-2 number, since 2×1330021522 = 35379144873262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 133002152.

It is not an unprimeable number, because it can be changed into a prime (133002157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11558 + ... + 19989.

It is an arithmetic number, because the mean of its divisors is an integer number (8517960).

Almost surely, 2133002152 is an apocalyptic number.

It is an amenable number.

133002152 is an abundant number, since it is smaller than the sum of its proper divisors (139572568).

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

133002152 is a wasteful number, since it uses less digits than its factorization.

133002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31601 (or 31597 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 133002152 is about 11532.6558953261. The cubic root of 133002152 is about 510.4496252722.

Adding to 133002152 its reverse (251200331), we get a palindrome (384202483).

The spelling of 133002152 in words is "one hundred thirty-three million, two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 527 1054 2108 4216 31547 63094 126188 252376 536299 977957 1072598 1955914 2145196 3911828 4290392 7823656 16625269 33250538 66501076 133002152