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133758036 = 223243711217
BaseRepresentation
bin1111111100011…
…11110001010100
3100022200121112100
413332033301110
5233220224121
621134522100
73212632056
oct776176124
9308617470
10133758036
1169559435
1238966330
1321933189
1413a9b8d6
15bb22026
hex7f8fc54

133758036 has 72 divisors (see below), whose sum is σ = 351134784. Its totient is φ = 42900480.

The previous prime is 133758019. The next prime is 133758067. The reversal of 133758036 is 630857331.

133758036 is a `hidden beast` number, since 13 + 37 + 580 + 36 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109300 + ... + 110516.

It is an arithmetic number, because the mean of its divisors is an integer number (4876872).

Almost surely, 2133758036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133758036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175567392).

133758036 is an abundant number, since it is smaller than the sum of its proper divisors (217376748).

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

133758036 is a wasteful number, since it uses less digits than its factorization.

133758036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133758036 is about 11565.3809275787. The cubic root of 133758036 is about 511.4148027908.

The spelling of 133758036 in words is "one hundred thirty-three million, seven hundred fifty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 71 86 129 142 172 213 258 284 387 426 516 639 774 852 1217 1278 1548 2434 2556 3053 3651 4868 6106 7302 9159 10953 12212 14604 18318 21906 27477 36636 43812 52331 54954 86407 104662 109908 156993 172814 209324 259221 313986 345628 470979 518442 627972 777663 941958 1036884 1555326 1883916 3110652 3715501 7431002 11146503 14862004 22293006 33439509 44586012 66879018 133758036