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148151601 = 321310911617
BaseRepresentation
bin10001101010010…
…01110100110001
3101022202212210100
420311021310301
5300411322401
622411223013
73446160603
oct1065116461
9338685710
10148151601
117669a544
1241747a69
1324902790
1415967173
15d016b86
hex8d49d31

148151601 has 24 divisors (see below), whose sum is σ = 232592360. Its totient is φ = 90326016.

The previous prime is 148151593. The next prime is 148151609. The reversal of 148151601 is 106151841.

148151601 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 51 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (148151593) and next prime (148151609).

It can be written as a sum of positive squares in 4 ways, for example, as 7017201 + 141134400 = 2649^2 + 11880^2 .

It is not a de Polignac number, because 148151601 - 23 = 148151593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148151609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6945 + ... + 18561.

Almost surely, 2148151601 is an apocalyptic number.

It is an amenable number.

148151601 is a deficient number, since it is larger than the sum of its proper divisors (84440759).

148151601 is a wasteful number, since it uses less digits than its factorization.

148151601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 148151601 is about 12171.7542285408. The cubic root of 148151601 is about 529.1377947530.

The spelling of 148151601 in words is "one hundred forty-eight million, one hundred fifty-one thousand, six hundred one".

Divisors: 1 3 9 13 39 109 117 327 981 1417 4251 11617 12753 34851 104553 151021 453063 1266253 1359189 3798759 11396277 16461289 49383867 148151601