[go: up one dir, main page]

Search a number
-
+
148123136 = 297371117
BaseRepresentation
bin10001101010000…
…10111000000000
3101022201102202002
420311002320000
5300404420021
622410443132
73446011610
oct1065027000
9338642662
10148123136
1176680117
12417334a8
13248c2835
141595aa40
15d00d50b
hex8d42e00

148123136 has 80 divisors (see below), whose sum is σ = 347689056. Its totient is φ = 61710336.

The previous prime is 148123133. The next prime is 148123139. The reversal of 148123136 is 631321841.

It is an interprime number because it is at equal distance from previous prime (148123133) and next prime (148123139).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 148123099 and 148123108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148123133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132050 + ... + 133166.

Almost surely, 2148123136 is an apocalyptic number.

148123136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173844528).

148123136 is an abundant number, since it is smaller than the sum of its proper divisors (199565920).

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

148123136 is an equidigital number, since it uses as much as digits as its factorization.

148123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 148123136 is about 12170.5848668008. The cubic root of 148123136 is about 529.1039040807.

Adding to 148123136 its reverse (631321841), we get a palindrome (779444977).

The spelling of 148123136 in words is "one hundred forty-eight million, one hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1036 1117 1184 1792 2072 2234 2368 3584 4144 4468 4736 7819 8288 8936 9472 15638 16576 17872 18944 31276 33152 35744 41329 62552 66304 71488 82658 125104 132608 142976 165316 250208 285952 289303 330632 500416 571904 578606 661264 1000832 1157212 1322528 2001664 2314424 2645056 4003328 4628848 5290112 9257696 10580224 18515392 21160448 37030784 74061568 148123136