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135473607237380 = 225472114281100469
BaseRepresentation
bin11110110011011001101000…
…001111000101111100000100
3122202200011001121200212110212
4132303121220033011330010
5120224044421423044010
61200043414353134552
740351434164441426
oct3663315017057404
9582604047625425
10135473607237380
113a19104154aa75
121323b838b5a458
135a7914c8474c9
142564d59834816
15109dea5815505
hex7b36683c5f04

135473607237380 has 48 divisors (see below), whose sum is σ = 284577594582960. Its totient is φ = 54173631590400.

The previous prime is 135473607237379. The next prime is 135473607237391. The reversal of 135473607237380 is 83732706374531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5513789637316 + 129959817600064 = 2348146^2 + 11399992^2 .

It is a super-3 number, since 3×1354736072373803 (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

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, 1348361786 + ... + 1348462254.

It is an arithmetic number, because the mean of its divisors is an integer number (5928699887145).

Almost surely, 2135473607237380 is an apocalyptic number.

135473607237380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135473607237380 is an abundant number, since it is smaller than the sum of its proper divisors (149103987345580).

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

135473607237380 is a wasteful number, since it uses less digits than its factorization.

135473607237380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119480 (or 119478 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 59.

The spelling of 135473607237380 in words is "one hundred thirty-five trillion, four hundred seventy-three billion, six hundred seven million, two hundred thirty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 4721 9442 14281 18884 23605 28562 47210 57124 71405 94420 100469 142810 200938 285620 401876 502345 1004690 2009380 67420601 134841202 269682404 337103005 474314149 674206010 948628298 1348412020 1434797789 1897256596 2371570745 2869595578 4743141490 5739191156 7173988945 9486282980 14347977890 28695955780 6773680361869 13547360723738 27094721447476 33868401809345 67736803618690 135473607237380