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135031344 = 243723101173
BaseRepresentation
bin10000000110001…
…10101000110000
3100102002022011220
420003012220300
5234032000334
621222105040
73226514250
oct1003065060
9312068156
10135031344
116a249058
123927b180
1321c8a906
1413d0d960
15bcc4449
hex80c6a30

135031344 has 160 divisors (see below), whose sum is σ = 422544384. Its totient is φ = 36326400.

The previous prime is 135031339. The next prime is 135031361. The reversal of 135031344 is 443130531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780442 + ... + 780614.

Almost surely, 2135031344 is an apocalyptic number.

135031344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211272192).

135031344 is an abundant number, since it is smaller than the sum of its proper divisors (287513040).

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

135031344 is a wasteful number, since it uses less digits than its factorization.

135031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

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

The square root of 135031344 is about 11620.2987913392. The cubic root of 135031344 is about 513.0324827723.

Adding to 135031344 its reverse (443130531), we get a palindrome (578161875).

The spelling of 135031344 in words is "one hundred thirty-five million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 101 112 138 161 168 173 184 202 276 303 322 336 346 368 404 483 519 552 606 644 692 707 808 966 1038 1104 1211 1212 1288 1384 1414 1616 1932 2076 2121 2323 2422 2424 2576 2768 2828 3633 3864 3979 4152 4242 4646 4844 4848 5656 6969 7266 7728 7958 8304 8484 9292 9688 11312 11937 13938 14532 15916 16261 16968 17473 18584 19376 23874 27853 27876 29064 31832 32522 33936 34946 37168 47748 48783 52419 55706 55752 58128 63664 65044 69892 83559 95496 97566 104838 111412 111504 122311 130088 139784 167118 190992 195132 209676 222824 244622 260176 279568 334236 366933 390264 401879 419352 445648 489244 668472 733866 780528 803758 838704 978488 1205637 1336944 1467732 1607516 1956976 2411274 2813153 2935464 3215032 4822548 5626306 5870928 6430064 8439459 9645096 11252612 16878918 19290192 22505224 33757836 45010448 67515672 135031344