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153430134 = 2311131767157
BaseRepresentation
bin10010010010100…
…10100001110110
3101200201001120120
421021102201312
5303234231014
623120312410
73542064114
oct1111224166
9350631516
10153430134
1179675370
1243472706
1325a30280
141653cab4
15d70aba9
hex9252876

153430134 has 128 divisors (see below), whose sum is σ = 389878272. Its totient is φ = 39536640.

The previous prime is 153430133. The next prime is 153430153. The reversal of 153430134 is 431034351.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153430133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 977184 + ... + 977340.

It is an arithmetic number, because the mean of its divisors is an integer number (3045924).

Almost surely, 2153430134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153430134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194939136).

153430134 is an abundant number, since it is smaller than the sum of its proper divisors (236448138).

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

153430134 is a wasteful number, since it uses less digits than its factorization.

153430134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 153430134 is about 12386.6918101646. The cubic root of 153430134 is about 535.3488672846.

Adding to 153430134 its reverse (431034351), we get a palindrome (584464485).

The spelling of 153430134 in words is "one hundred fifty-three million, four hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 67 78 102 134 143 157 187 201 221 286 314 374 402 429 442 471 561 663 737 858 871 942 1122 1139 1326 1474 1727 1742 2041 2211 2278 2431 2613 2669 3417 3454 4082 4422 4862 5181 5226 5338 6123 6834 7293 8007 9581 10362 10519 12246 12529 14586 14807 16014 19162 21038 22451 25058 28743 29359 29614 31557 34697 37587 44421 44902 57486 58718 63114 67353 69394 75174 88077 88842 104091 115709 134706 136747 162877 176154 178823 208182 231418 273494 325754 347127 357646 381667 410241 488631 536469 694254 763334 820482 977262 1072938 1145001 1504217 1967053 2290002 2324699 3008434 3934106 4512651 4649398 5901159 6974097 9025302 11802318 13948194 25571689 51143378 76715067 153430134