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135500601357 = 33111034429427
BaseRepresentation
bin111111000110001110…
…1110001100000001101
3110221202021021202011000
41332030131301200031
54210001123220412
6142125332050513
712534555052002
oct1761435614015
9427667252130
10135500601357
1152513614370
1222316a63a39
13ca15669134
1467b5c3b8a9
1537d0c014dc
hex1f8c77180d

135500601357 has 32 divisors (see below), whose sum is σ = 221117045760. Its totient is φ = 81324261360.

The previous prime is 135500601337. The next prime is 135500601361. The reversal of 135500601357 is 753106005531.

135500601357 is a `hidden beast` number, since 1 + 35 + 500 + 60 + 13 + 57 = 666.

It is a de Polignac number, because none of the positive numbers 2k-135500601357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135500601317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184123 + ... + 2245304.

It is an arithmetic number, because the mean of its divisors is an integer number (6909907680).

Almost surely, 2135500601357 is an apocalyptic number.

It is an amenable number.

135500601357 is a deficient number, since it is larger than the sum of its proper divisors (85616444403).

135500601357 is a wasteful number, since it uses less digits than its factorization.

135500601357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429550 (or 4429544 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

Adding to 135500601357 its reverse (753106005531), we get a palindrome (888606606888).

The spelling of 135500601357 in words is "one hundred thirty-five billion, five hundred million, six hundred one thousand, three hundred fifty-seven".

Divisors: 1 3 9 11 27 33 99 103 297 309 927 1133 2781 3399 10197 30591 4429427 13288281 39864843 48723697 119594529 146171091 438513273 456230981 1315539819 1368692943 4106078829 5018540791 12318236487 15055622373 45166867119 135500601357