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135244401534 = 2321110913945083
BaseRepresentation
bin111110111110100110…
…0011100101101111110
3110221002102012110001200
41331331030130231332
54203440031322114
6142044100520330
712525324305514
oct1757514345576
9427072173050
10135244401534
11523a1a36680
12222650b00a6
13c9a45657c8
14678dbca4b4
1537b8495409
hex1f7d31cb7e

135244401534 has 96 divisors (see below), whose sum is σ = 324929404800. Its totient is φ = 40314127680.

The previous prime is 135244401521. The next prime is 135244401547. The reversal of 135244401534 is 435104442531.

135244401534 is a `hidden beast` number, since 1 + 3 + 5 + 244 + 401 + 5 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (135244401521) and next prime (135244401547).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2977357 + ... + 3022439.

It is an arithmetic number, because the mean of its divisors is an integer number (3384681300).

Almost surely, 2135244401534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135244401534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162464702400).

135244401534 is an abundant number, since it is smaller than the sum of its proper divisors (189685003266).

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

135244401534 is a wasteful number, since it uses less digits than its factorization.

135244401534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45350 (or 45347 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 135244401534 in words is "one hundred thirty-five billion, two hundred forty-four million, four hundred one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 139 198 218 278 327 417 654 834 981 1199 1251 1529 1962 2398 2502 3058 3597 4587 7194 9174 10791 13761 15151 21582 27522 30302 45083 45453 90166 90906 135249 136359 166661 270498 272718 333322 405747 495913 499983 811494 991826 999966 1487739 1499949 2975478 2999898 4463217 4914047 6266537 8926434 9828094 12533074 14742141 18799611 29484282 37599222 44226423 54054517 56398833 68931907 88452846 108109034 112797666 137863814 162163551 206795721 324327102 413591442 486490653 620387163 683052533 972981306 1240774326 1366105066 2049157599 4098315198 6147472797 7513577863 12294945594 15027155726 22540733589 45081467178 67622200767 135244401534