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135220526040 = 23352953733141
BaseRepresentation
bin111110111101111000…
…1010111101111011000
3110221000202021110001010
41331323301113233120
54203412423313130
6142041445053520
712524614335615
oct1757361275730
9427022243033
10135220526040
115238a509666
12222590b72a0
13c99c6263b2
14678a97350c
1537b632b0b0
hex1f7bc57bd8

135220526040 has 128 divisors (see below), whose sum is σ = 427568414400. Its totient is φ = 34158458880.

The previous prime is 135220525967. The next prime is 135220526053. The reversal of 135220526040 is 40625022531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135220525989 and 135220526007.

It is a congruent number.

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, 182131 + ... + 551010.

Almost surely, 2135220526040 is an apocalyptic number.

135220526040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135220526040 is an abundant number, since it is smaller than the sum of its proper divisors (292347888360).

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

135220526040 is a wasteful number, since it uses less digits than its factorization.

135220526040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733237 (or 733233 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 135220526040 its reverse (40625022531), we get a palindrome (175845548571).

The spelling of 135220526040 in words is "one hundred thirty-five billion, two hundred twenty million, five hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 53 58 60 87 106 116 120 145 159 174 212 232 265 290 318 348 424 435 530 580 636 696 795 870 1060 1160 1272 1537 1590 1740 2120 3074 3180 3480 4611 6148 6360 7685 9222 12296 15370 18444 23055 30740 36888 46110 61480 92220 184440 733141 1466282 2199423 2932564 3665705 4398846 5865128 7331410 8797692 10997115 14662820 17595384 21261089 21994230 29325640 38856473 42522178 43988460 63783267 77712946 85044356 87976920 106305445 116569419 127566534 155425892 170088712 194282365 212610890 233138838 255133068 310851784 318916335 388564730 425221780 466277676 510266136 582847095 637832670 777129460 850443560 932555352 1126837717 1165694190 1275665340 1554258920 2253675434 2331388380 2551330680 3380513151 4507350868 4662776760 5634188585 6761026302 9014701736 11268377170 13522052604 16902565755 22536754340 27044105208 33805131510 45073508680 67610263020 135220526040