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148752157328 = 241931433311109
BaseRepresentation
bin1000101010001001010…
…0011100101010010000
3112012221210102112112022
42022202110130222100
54414121023013303
6152200310551012
713514134321655
oct2124224345220
9465853375468
10148752157328
11580a3795515
12249b4968468
1311047ba6808
1472b1b69c2c
153d09293438
hex22a251ca90

148752157328 has 160 divisors (see below), whose sum is σ = 321703219200. Its totient is φ = 66341721600.

The previous prime is 148752157303. The next prime is 148752157339. The reversal of 148752157328 is 823751257841.

It is a self number, because there is not a number n which added to its sum of digits gives 148752157328.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134131238 + ... + 134132346.

It is an arithmetic number, because the mean of its divisors is an integer number (2010645120).

Almost surely, 2148752157328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148752157328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160851609600).

148752157328 is an abundant number, since it is smaller than the sum of its proper divisors (172951061872).

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

148752157328 is a wasteful number, since it uses less digits than its factorization.

148752157328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1535 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 53.

The spelling of 148752157328 in words is "one hundred forty-eight billion, seven hundred fifty-two million, one hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 38 43 62 76 86 124 152 172 248 304 331 344 496 589 662 688 817 1109 1178 1324 1333 1634 2218 2356 2648 2666 3268 4436 4712 5296 5332 6289 6536 8872 9424 10261 10664 12578 13072 14233 17744 20522 21071 21328 25156 25327 28466 34379 41044 42142 47687 50312 50654 56932 68758 82088 84284 95374 100624 101308 113864 137516 164176 168568 190748 194959 202616 227728 270427 275032 337136 367079 381496 389918 405232 441223 540854 550064 653201 734158 762992 779836 882446 906053 1081708 1306402 1468316 1478297 1559672 1764892 1812106 2163416 2612804 2936632 2956594 3119344 3529784 3624212 4326832 5225608 5873264 5913188 6974501 7059568 7248424 8383237 10451216 11379449 11826376 13949002 14496848 15784397 16766474 22758898 23652752 27898004 28087643 31568794 33532948 45517796 55796008 56175286 63137588 67065896 91035592 111592016 112350572 126275176 134131792 182071184 216209531 224701144 252550352 299903543 432419062 449402288 489316307 599807086 864838124 978632614 1199614172 1729676248 1957265228 2399228344 3459352496 3914530456 4798456688 7829060912 9297009833 18594019666 37188039332 74376078664 148752157328