Search a number
-
+
137570501807154 = 232135318161285117
BaseRepresentation
bin11111010001111010100000…
…111001000100110000110010
3200001002121111210202212021100
4133101322200321010300302
5121012423341430312104
61204331003245105230
740656066165262533
oct3721724071046062
9601077453685240
10137570501807154
113a91a35a8a6199
121351a102858216
135b9bac5411720
1425d863ab3668a
1510d87d00b0139
hex7d1ea0e44c32

137570501807154 has 96 divisors (see below), whose sum is σ = 328861336278384. Its totient is φ = 41301265374720.

The previous prime is 137570501807117. The next prime is 137570501807161. The reversal of 137570501807154 is 451708105075731.

137570501807154 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 7 + 0 + 501 + 80 + 7 + 1 + 54 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6090407015625 + 131480094791529 = 2467875^2 + 11466477^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137570501807154.

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, 28397797 + ... + 32887320.

Almost surely, 2137570501807154 is an apocalyptic number.

137570501807154 is an abundant number, since it is smaller than the sum of its proper divisors (191290834471230).

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

137570501807154 is a wasteful number, since it uses less digits than its factorization.

137570501807154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61285372 (or 61285369 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 54.

The spelling of 137570501807154 in words is "one hundred thirty-seven trillion, five hundred seventy billion, five hundred one million, eight hundred seven thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 181 234 318 362 477 543 689 954 1086 1378 1629 2067 2353 3258 4134 4706 6201 7059 9593 12402 14118 19186 21177 28779 42354 57558 86337 124709 172674 249418 374127 748254 1122381 2244762 61285117 122570234 183855351 367710702 551566053 796706521 1103132106 1593413042 2390119563 3248111201 4780239126 6496222402 7170358689 9744333603 11092606177 14340717378 19488667206 22185212354 29233000809 33277818531 42225445613 58466001618 66555637062 84450891226 99833455593 126676336839 144203880301 199666911186 253352673678 288407760602 380029010517 432611640903 587908127381 760058021034 865223281806 1175816254762 1297834922709 1763724382143 2595669845418 3527448764286 5291173146429 7642805655953 10582346292858 15285611311906 22928416967859 45856833935718 68785250903577 137570501807154