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135734706180 = 22335251360567
BaseRepresentation
bin111111001101001101…
…0110100000000000100
3110222100120210111121000
41332122122310000010
54210441041044210
6142204453453300
712543426652233
oct1763232640004
9428316714530
10135734706180
1152623780827
1222381341230
13ca520048b8
1467d8d7ab1a
1537e6545ac0
hex1f9a6b4004

135734706180 has 48 divisors (see below), whose sum is σ = 422285754240. Its totient is φ = 36195921504.

The previous prime is 135734706167. The next prime is 135734706193. The reversal of 135734706180 is 81607437531.

135734706180 is a `hidden beast` number, since 1 + 3 + 573 + 4 + 70 + 6 + 1 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135734706167) and next prime (135734706193).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125679744 + ... + 125680823.

It is an arithmetic number, because the mean of its divisors is an integer number (8797619880).

Almost surely, 2135734706180 is an apocalyptic number.

135734706180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135734706180 is an abundant number, since it is smaller than the sum of its proper divisors (286551048060).

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

135734706180 is a wasteful number, since it uses less digits than its factorization.

135734706180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251360585 (or 251360577 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 135734706180 in words is "one hundred thirty-five billion, seven hundred thirty-four million, seven hundred six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 251360567 502721134 754081701 1005442268 1256802835 1508163402 2262245103 2513605670 3016326804 3770408505 4524490206 5027211340 6786735309 7540817010 9048980412 11311225515 13573470618 15081634020 22622451030 27146941236 33933676545 45244902060 67867353090 135734706180