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133785864 = 23331274877
BaseRepresentation
bin1111111100101…
…10100100001000
3100022202000201000
413332112210020
5233222121424
621135255000
73213106152
oct776264410
9308660630
10133785864
1169578333
123897a460
1321942a44
1413aa7ad2
15bb2a3c9
hex7f96908

133785864 has 64 divisors (see below), whose sum is σ = 374630400. Its totient is φ = 44235072.

The previous prime is 133785811. The next prime is 133785877. The reversal of 133785864 is 468587331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24994 + ... + 29870.

It is an arithmetic number, because the mean of its divisors is an integer number (5853600).

Almost surely, 2133785864 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 133785864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187315200).

133785864 is an abundant number, since it is smaller than the sum of its proper divisors (240844536).

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

133785864 is a wasteful number, since it uses less digits than its factorization.

133785864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5009 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 133785864 is about 11566.5839382248. The cubic root of 133785864 is about 511.4502664900.

The spelling of 133785864 in words is "one hundred thirty-three million, seven hundred eighty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 4877 6858 9144 9754 13716 14631 19508 27432 29262 39016 43893 58524 87786 117048 131679 175572 263358 351144 526716 619379 1053432 1238758 1858137 2477516 3716274 4955032 5574411 7432548 11148822 14865096 16723233 22297644 33446466 44595288 66892932 133785864