Search a number
-
+
135381948 = 223131771719
BaseRepresentation
bin10000001000111…
…00001110111100
3100102202010010020
420010130032330
5234124210243
621233412140
73232504362
oct1004341674
9312663106
10135381948
116a468509
123940a050
1322081380
1413da1632
15bd43283
hex811c3bc

135381948 has 96 divisors (see below), whose sum is σ = 365783040. Its totient is φ = 38599680.

The previous prime is 135381943. The next prime is 135381971. The reversal of 135381948 is 849183531.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135381941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187933 + ... + 188651.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2135381948 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 135381948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

135381948 is an abundant number, since it is smaller than the sum of its proper divisors (230401092).

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

135381948 is a wasteful number, since it uses less digits than its factorization.

135381948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 135381948 is about 11635.3748542967. The cubic root of 135381948 is about 513.4761224564.

The spelling of 135381948 in words is "one hundred thirty-five million, three hundred eighty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 71 78 102 142 156 204 213 221 284 426 442 663 719 852 884 923 1207 1326 1438 1846 2157 2414 2652 2769 2876 3621 3692 4314 4828 5538 7242 8628 9347 11076 12223 14484 15691 18694 24446 28041 31382 36669 37388 47073 48892 51049 56082 62764 73338 94146 102098 112164 146676 153147 158899 188292 204196 306294 317798 476697 612588 635596 663637 867833 953394 1327274 1735666 1906788 1990911 2603499 2654548 3471332 3981822 5206998 7963644 10413996 11281829 22563658 33845487 45127316 67690974 135381948