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133986132 = 223272323117
BaseRepresentation
bin1111111110001…
…11011101010100
3100100010012102100
413333013131110
5233300024012
621143442100
73214602060
oct777073524
9310105370
10133986132
11696a4845
1238a56330
13219b2c47
1413b1aaa0
15bb698dc
hex7fc7754

133986132 has 72 divisors (see below), whose sum is σ = 403917696. Its totient is φ = 36615744.

The previous prime is 133986101. The next prime is 133986161. The reversal of 133986132 is 231689331.

133986132 is a `hidden beast` number, since 1 + 3 + 39 + 8 + 613 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5763 + ... + 17354.

It is an arithmetic number, because the mean of its divisors is an integer number (5609968).

Almost surely, 2133986132 is an apocalyptic number.

133986132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133986132 is an abundant number, since it is smaller than the sum of its proper divisors (269931564).

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

133986132 is a wasteful number, since it uses less digits than its factorization.

133986132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23157 (or 23152 counting only the distinct ones).

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

The square root of 133986132 is about 11575.2378809250. The cubic root of 133986132 is about 511.7053409118.

The spelling of 133986132 in words is "one hundred thirty-three million, nine hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 23117 46234 69351 92468 138702 161819 208053 277404 323638 416106 485457 531691 647276 832212 970914 1063382 1456371 1595073 1941828 2126764 2912742 3190146 3721837 4785219 5825484 6380292 7443674 9570438 11165511 14887348 19140876 22331022 33496533 44662044 66993066 133986132