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135754704 = 2434312109
BaseRepresentation
bin10000001011101…
…11001111010000
3100110110001110000
420011313033100
5234223122304
621245410000
73235616211
oct1005671720
9313401400
10135754704
116a6a2578
1239569900
1322181c37
141405b408
15bdb8939
hex81773d0

135754704 has 150 divisors (see below), whose sum is σ = 409721730. Its totient is φ = 43390080.

The previous prime is 135754699. The next prime is 135754709. The reversal of 135754704 is 407457531.

It is a happy number.

135754704 is a `hidden beast` number, since 13 + 575 + 4 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (135754699) and next prime (135754709).

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 11209104 = 11160^2 + 3348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135754709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1245402 + ... + 1245510.

Almost surely, 2135754704 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 135754704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204860865).

135754704 is an abundant number, since it is smaller than the sum of its proper divisors (273967026).

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

135754704 is a wasteful number, since it uses less digits than its factorization.

135754704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 135754704 is about 11651.3820639442. The cubic root of 135754704 is about 513.9469530967.

The spelling of 135754704 in words is "one hundred thirty-five million, seven hundred fifty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 109 124 144 162 186 216 218 248 279 324 327 372 432 436 496 558 648 654 744 837 872 961 981 1116 1296 1308 1488 1674 1744 1922 1962 2232 2511 2616 2883 2943 3348 3379 3844 3924 4464 5022 5232 5766 5886 6696 6758 7688 7848 8649 8829 10044 10137 11532 11772 13392 13516 15376 15696 17298 17658 20088 20274 23064 23544 25947 27032 30411 34596 35316 40176 40548 46128 47088 51894 54064 60822 69192 70632 77841 81096 91233 103788 104749 121644 138384 141264 155682 162192 182466 207576 209498 243288 273699 311364 314247 364932 415152 418996 486576 547398 622728 628494 729864 837992 942741 1094796 1245456 1256988 1459728 1675984 1885482 2189592 2513976 2828223 3770964 4379184 5027952 5656446 7541928 8484669 11312892 15083856 16969338 22625784 33938676 45251568 67877352 135754704