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137753091720 = 23335314114489
BaseRepresentation
bin1000000001001010111…
…0010101111010001000
3111011120020202010001000
42000102232111322020
54224104242413340
6143141034455000
712644435650206
oct2002256257210
9434506663030
10137753091720
115346a035752
1222845294460
13ccb421857a
14694b060076
1538b383ad30
hex2012b95e88

137753091720 has 128 divisors (see below), whose sum is σ = 473989248000. Its totient is φ = 35549176320.

The previous prime is 137753091713. The next prime is 137753091733. The reversal of 137753091720 is 27190357731.

137753091720 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 530 + 91 + 7 + 20 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2023765 + ... + 2090724.

It is an arithmetic number, because the mean of its divisors is an integer number (3703041000).

Almost surely, 2137753091720 is an apocalyptic number.

137753091720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137753091720 is an abundant number, since it is smaller than the sum of its proper divisors (336236156280).

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

137753091720 is a wasteful number, since it uses less digits than its factorization.

137753091720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114540 (or 4114530 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 137753091720 in words is "one hundred thirty-seven billion, seven hundred fifty-three million, ninety-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 4114489 8228978 12343467 16457956 20572445 24686934 32915912 37030401 41144890 49373868 61717335 74060802 82289780 98747736 111091203 123434670 127549159 148121604 164579560 185152005 222182406 246869340 255098318 296243208 370304010 382647477 444364812 493738680 510196636 555456015 637745795 740608020 765294954 888729624 1020393272 1110912030 1147942431 1275491590 1481216040 1530589908 1913237385 2221824060 2295884862 2550983180 3061179816 3443827293 3826474770 4443648120 4591769724 5101966360 5739712155 6887654586 7652949540 9183539448 11479424310 13775309172 15305899080 17219136465 22958848620 27550618344 34438272930 45917697240 68876545860 137753091720