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135190609848 = 2333789411779
BaseRepresentation
bin111110111100111111…
…1001111111110111000
3110220221122222112202000
41331321333033332320
54203332244003343
6142034455541000
712524102136450
oct1757177177670
9426848875660
10135190609848
1152374636138
122224b08a760
13c9963805c8
1467869c6d60
1537b38bbed3
hex1f79fcffb8

135190609848 has 64 divisors (see below), whose sum is σ = 429176544000. Its totient is φ = 38625888096.

The previous prime is 135190609847. The next prime is 135190609849. The reversal of 135190609848 is 848906091531.

135190609848 is a `hidden beast` number, since 13 + 5 + 19 + 0 + 609 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (135190609847) and next prime (135190609849).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135190609794 and 135190609803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135190609847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44704378 + ... + 44707401.

It is an arithmetic number, because the mean of its divisors is an integer number (6705883500).

Almost surely, 2135190609848 is an apocalyptic number.

135190609848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135190609848 is an abundant number, since it is smaller than the sum of its proper divisors (293985934152).

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

135190609848 is a wasteful number, since it uses less digits than its factorization.

135190609848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89411801 (or 89411791 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 135190609848 in words is "one hundred thirty-five billion, one hundred ninety million, six hundred nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 89411779 178823558 268235337 357647116 536470674 625882453 715294232 804706011 1072941348 1251764906 1609412022 1877647359 2145882696 2414118033 2503529812 3218824044 3755294718 4828236066 5007059624 5632942077 6437648088 7510589436 9656472132 11265884154 15021178872 16898826231 19312944264 22531768308 33797652462 45063536616 67595304924 135190609848