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135521440180 = 225741181113037
BaseRepresentation
bin111111000110110110…
…1010001000110110100
3110221210201111110122021
41332031231101012310
54210021442041210
6142131354442524
712535230143410
oct1761555210664
9427721443567
10135521440180
1152524357935
1222321a33444
13ca19a842b9
1467b8903d40
1537d296abda
hex1f8db511b4

135521440180 has 96 divisors (see below), whose sum is σ = 333393967872. Its totient is φ = 45302707200.

The previous prime is 135521440151. The next prime is 135521440181. The reversal of 135521440180 is 81044125531.

It is a super-2 number, since 2×1355214401802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135521440181) 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, 10388622 + ... + 10401658.

It is an arithmetic number, because the mean of its divisors is an integer number (3472853832).

Almost surely, 2135521440180 is an apocalyptic number.

135521440180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135521440180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166696983936).

135521440180 is an abundant number, since it is smaller than the sum of its proper divisors (197872527692).

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

135521440180 is a wasteful number, since it uses less digits than its factorization.

135521440180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14905 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 135521440180 in words is "one hundred thirty-five billion, five hundred twenty-one million, four hundred forty thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1811 2870 3622 5740 7244 9055 12677 13037 18110 25354 26074 36220 50708 52148 63385 65185 74251 91259 126770 130370 148502 182518 253540 260740 297004 365036 371255 456295 519757 534517 742510 912590 1039514 1069034 1485020 1825180 2079028 2138068 2598785 2672585 3741619 5197570 5345170 7483238 10395140 10690340 14966476 18708095 23610007 37416190 47220014 74832380 94440028 118050035 165270049 236100070 330540098 472200140 661080196 826350245 968010287 1652700490 1936020574 3305400980 3872041148 4840051435 6776072009 9680102870 13552144018 19360205740 27104288036 33880360045 67760720090 135521440180