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133458084 = 22331319433
BaseRepresentation
bin1111111010001…
…10100010100100
3100022010101002000
413331012202210
5233131124314
621124245300
73210242424
oct775064244
9308111060
10133458084
1169374041
1238840830
13218597a6
1413a20484
15bab3209
hex7f468a4

133458084 has 48 divisors (see below), whose sum is σ = 348680640. Its totient is φ = 44141760.

The previous prime is 133458079. The next prime is 133458103. The reversal of 133458084 is 480854331.

It is a super-2 number, since 2×1334580842 = 35622120369902112, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 9432 + ... + 18864.

It is an arithmetic number, because the mean of its divisors is an integer number (7264180).

Almost surely, 2133458084 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 133458084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174340320).

133458084 is an abundant number, since it is smaller than the sum of its proper divisors (215222556).

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

133458084 is a wasteful number, since it uses less digits than its factorization.

133458084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 133458084 is about 11552.4059831708. The cubic root of 133458084 is about 511.0322346180.

The spelling of 133458084 in words is "one hundred thirty-three million, four hundred fifty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 9433 14148 18866 28299 37732 56598 84897 113196 169794 254691 339588 509382 1018764 1235723 2471446 3707169 4942892 7414338 11121507 14828676 22243014 33364521 44486028 66729042 133458084