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132153302144656 = 241317353531057157
BaseRepresentation
bin11110000011000101010110…
…101000010101011010010000
3122022220201202211212222111101
4132003011112220111122100
5114310144430322112111
61145022215555554144
736556522011014632
oct3603052650253220
9568821684788441
10132153302144656
113912099a916331
12129a42415bb954
13589800654c250
14248c37abb6a52
151042925ecdbc1
hex783156a15690

132153302144656 has 80 divisors (see below), whose sum is σ = 291971655836784. Its totient is φ = 57404281208832.

The previous prime is 132153302144621. The next prime is 132153302144671. The reversal of 132153302144656 is 656441203351231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25221488410000 + 106931813734656 = 5022100^2 + 10340784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124479630 + ... + 125536786.

Almost surely, 2132153302144656 is an apocalyptic number.

132153302144656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132153302144656 is an abundant number, since it is smaller than the sum of its proper divisors (159818353692128).

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

132153302144656 is a wasteful number, since it uses less digits than its factorization.

132153302144656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092548 (or 1092542 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

Adding to 132153302144656 its reverse (656441203351231), we get a palindrome (788594505495887).

The spelling of 132153302144656 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, three hundred two million, one hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 35353 70706 141412 282824 459589 565648 601001 919178 1057157 1202002 1838356 2114314 2404004 3676712 4228628 4808008 7353424 7813013 8457256 9616016 13743041 15626026 16914512 17971669 27486082 31252052 35943338 54972164 62504104 71886676 109944328 125008208 143773352 219888656 233631697 287546704 467263394 934526788 1869053576 3738107152 37373671421 74747342842 149494685684 298989371368 485857728473 597978742736 635352414157 971715456946 1270704828314 1943430913892 2541409656628 3886861827784 5082819313256 7773723655568 8259581384041 10165638626512 16519162768082 33038325536164 66076651072328 132153302144656