Search a number
-
+
133151004 = 223271731081
BaseRepresentation
bin1111110111110…
…11100100011100
3100021112202211200
413323323210130
5233041313004
621113515500
73204523230
oct773734434
9307482750
10133151004
1169184358
1238712b90
132177ca9c
14139805c0
15ba52239
hex7efb91c

133151004 has 72 divisors (see below), whose sum is σ = 407298528. Its totient is φ = 35804160.

The previous prime is 133151003. The next prime is 133151009. The reversal of 133151004 is 400151331.

133151004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133151003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11257 + ... + 19824.

It is an arithmetic number, because the mean of its divisors is an integer number (5656924).

Almost surely, 2133151004 is an apocalyptic number.

133151004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133151004 is an abundant number, since it is smaller than the sum of its proper divisors (274147524).

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

133151004 is a wasteful number, since it uses less digits than its factorization.

133151004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31115 (or 31110 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133151004 is about 11539.1075911441. The cubic root of 133151004 is about 510.6399808885.

The spelling of 133151004 in words is "one hundred thirty-three million, one hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 31081 62162 93243 124324 186486 217567 279729 372972 435134 528377 559458 652701 870268 1056754 1118916 1305402 1585131 1958103 2113508 2610804 3170262 3698639 3916206 4755393 6340524 7397278 7832412 9510786 11095917 14794556 19021572 22191834 33287751 44383668 66575502 133151004