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138754152540 = 223251787431369
BaseRepresentation
bin1000000100111001100…
…1000101100001011100
3111021011000102021022200
42001032121011201130
54233132030340130
6143424235011500
713011312556653
oct2011631054134
9437130367280
10138754152540
1153933113543
1222a84599b90
1310113737553
146a03da619a
15392167b760
hex204e64585c

138754152540 has 72 divisors (see below), whose sum is σ = 421124099760. Its totient is φ = 36980315904.

The previous prime is 138754152487. The next prime is 138754152599. The reversal of 138754152540 is 45251457831.

138754152540 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 54 + 1 + 52 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105976 + ... + 537344.

It is an arithmetic number, because the mean of its divisors is an integer number (5848945830).

Almost surely, 2138754152540 is an apocalyptic number.

138754152540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138754152540 is an abundant number, since it is smaller than the sum of its proper divisors (282369947220).

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

138754152540 is a wasteful number, since it uses less digits than its factorization.

138754152540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433171 (or 433166 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 138754152540 in words is "one hundred thirty-eight billion, seven hundred fifty-four million, one hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1787 3574 5361 7148 8935 10722 16083 17870 21444 26805 32166 35740 53610 64332 80415 107220 160830 321660 431369 862738 1294107 1725476 2156845 2588214 3882321 4313690 5176428 6470535 7764642 8627380 12941070 15529284 19411605 25882140 38823210 77646420 770856403 1541712806 2312569209 3083425612 3854282015 4625138418 6937707627 7708564030 9250276836 11562846045 13875415254 15417128060 23125692090 27750830508 34688538135 46251384180 69377076270 138754152540