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133982136 = 23326912693
BaseRepresentation
bin1111111110001…
…10011110111000
3100100002222221100
413333012132320
5233244412021
621143411400
73214554321
oct777063670
9310088840
10133982136
11696a1842
1238a53b60
13219b1192
1413b19448
15bb68626
hex7fc67b8

133982136 has 48 divisors (see below), whose sum is σ = 363528360. Its totient is φ = 44579520.

The previous prime is 133982131. The next prime is 133982197. The reversal of 133982136 is 631289331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133982136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133982131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48406 + ... + 51098.

Almost surely, 2133982136 is an apocalyptic number.

It is an amenable number.

133982136 is an abundant number, since it is smaller than the sum of its proper divisors (229546224).

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

133982136 is a wasteful number, since it uses less digits than its factorization.

133982136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3389 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133982136 is about 11575.0652697944. The cubic root of 133982136 is about 511.7002538309.

The spelling of 133982136 in words is "one hundred thirty-three million, nine hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 691 1382 2073 2693 2764 4146 5386 5528 6219 8079 8292 10772 12438 16158 16584 21544 24237 24876 32316 48474 49752 64632 96948 193896 1860863 3721726 5582589 7443452 11165178 14886904 16747767 22330356 33495534 44660712 66991068 133982136