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136372712130 = 2345233722581
BaseRepresentation
bin111111100000001110…
…0100111001011000010
3111001000001022120020000
41333000130213023002
54213242403242010
6142352044300430
712565304633004
oct1770034471302
9431001276200
10136372712130
1152920928076
122251ab41716
13cb24249505
1468599b8374
15383256e7c0
hex1fc07272c2

136372712130 has 80 divisors (see below), whose sum is σ = 368265361464. Its totient is φ = 36209928960.

The previous prime is 136372712123. The next prime is 136372712137. The reversal of 136372712130 is 31217273631.

136372712130 is a `hidden beast` number, since 1 + 3 + 6 + 372 + 71 + 213 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136372712123) and next prime (136372712137).

It can be written as a sum of positive squares in 4 ways, for example, as 128636278281 + 7736433849 = 358659^2 + 87957^2 .

It is a super-2 number, since 2×1363727121302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136372712137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172561 + ... + 550020.

Almost surely, 2136372712130 is an apocalyptic number.

136372712130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136372712130 is an abundant number, since it is smaller than the sum of its proper divisors (231892649334).

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

136372712130 is a wasteful number, since it uses less digits than its factorization.

136372712130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722833 (or 722824 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 136372712130 its reverse (31217273631), we get a palindrome (167589985761).

The spelling of 136372712130 in words is "one hundred thirty-six billion, three hundred seventy-two million, seven hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 233 270 405 466 699 810 1165 1398 2097 2330 3495 4194 6291 6990 10485 12582 18873 20970 31455 37746 62910 94365 188730 722581 1445162 2167743 3612905 4335486 6503229 7225810 10838715 13006458 19509687 21677430 32516145 39019374 58529061 65032290 97548435 117058122 168361373 195096870 292645305 336722746 505084119 585290610 841806865 1010168238 1515252357 1683613730 2525420595 3030504714 4545757071 5050841190 7576261785 9091514142 13637271213 15152523570 22728785355 27274542426 45457570710 68186356065 136372712130