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153134064 = 2434173683
BaseRepresentation
bin10010010000010…
…10001111110000
3101200011000110000
421020022033300
5303200242224
623110110000
73536421666
oct1110121760
9350130400
10153134064
1179492986
124334b300
1325958595
14164a2c36
15d69d0c9
hex920a3f0

153134064 has 100 divisors (see below), whose sum is σ = 446429016. Its totient is φ = 50675328.

The previous prime is 153134039. The next prime is 153134077. The reversal of 153134064 is 460431351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223867 + ... + 224549.

Almost surely, 2153134064 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 153134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223214508).

153134064 is an abundant number, since it is smaller than the sum of its proper divisors (293294952).

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

153134064 is a wasteful number, since it uses less digits than its factorization.

153134064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 153134064 is about 12374.7349062515. The cubic root of 153134064 is about 535.0042961195.

The spelling of 153134064 in words is "one hundred fifty-three million, one hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 324 346 432 519 648 683 692 1038 1296 1366 1384 1557 2049 2076 2732 2768 3114 4098 4152 4671 5464 6147 6228 8196 8304 9342 10928 12294 12456 14013 16392 18441 18684 24588 24912 28026 32784 36882 37368 49176 55323 56052 73764 74736 98352 110646 112104 118159 147528 221292 224208 236318 295056 354477 442584 472636 708954 885168 945272 1063431 1417908 1890544 2126862 2835816 3190293 4253724 5671632 6380586 8507448 9570879 12761172 17014896 19141758 25522344 38283516 51044688 76567032 153134064