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133145027540 = 225721131202321
BaseRepresentation
bin111110000000000001…
…1111110001111010100
3110201200002212012100022
41330000003332033110
54140140111340130
6141055504004312
712422313026600
oct1740003761724
9421602765308
10133145027540
1151514995948
122197a000698
13c72b636885
146631064500
1536e40037e5
hex1f000fe3d4

133145027540 has 72 divisors (see below), whose sum is σ = 328132910952. Its totient is φ = 45245706240.

The previous prime is 133145027489. The next prime is 133145027549. The reversal of 133145027540 is 45720541331.

It can be written as a sum of positive squares in 4 ways, for example, as 2750373136 + 130394654404 = 52444^2 + 361102^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 133145027540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133145027549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490421 + ... + 711900.

It is an arithmetic number, because the mean of its divisors is an integer number (4557401541).

Almost surely, 2133145027540 is an apocalyptic number.

133145027540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133145027540 is an abundant number, since it is smaller than the sum of its proper divisors (194987883412).

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

133145027540 is a wasteful number, since it uses less digits than its factorization.

133145027540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202457 (or 1202448 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

Adding to 133145027540 its reverse (45720541331), we get a palindrome (178865568871).

The spelling of 133145027540 in words is "one hundred thirty-three billion, one hundred forty-five million, twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 113 140 196 226 245 452 490 565 791 980 1130 1582 2260 3164 3955 5537 7910 11074 15820 22148 27685 55370 110740 1202321 2404642 4809284 6011605 8416247 12023210 16832494 24046420 33664988 42081235 58913729 84162470 117827458 135862273 168324940 235654916 271724546 294568645 543449092 589137290 679311365 951035911 1178274580 1358622730 1902071822 2717245460 3804143644 4755179555 6657251377 9510359110 13314502754 19020718220 26629005508 33286256885 66572513770 133145027540