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137908748160 = 2732523942491
BaseRepresentation
bin1000000001110000000…
…0000111111110000000
3111011222002122021112100
42000130000013332000
54224414114420120
6143204315030400
712651336006111
oct2003400077600
9434862567470
10137908748160
1153539990737
122288943b400
131000a547c81
1469639bc208
1538c2336490
hex201c007f80

137908748160 has 96 divisors (see below), whose sum is σ = 476216165880. Its totient is φ = 36775664640.

The previous prime is 137908748149. The next prime is 137908748161. The reversal of 137908748160 is 61847809731.

137908748160 is a `hidden beast` number, since 13 + 7 + 90 + 8 + 7 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 137908748097 and 137908748106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137908748161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11965486 + ... + 11977005.

Almost surely, 2137908748160 is an apocalyptic number.

137908748160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137908748160 is an abundant number, since it is smaller than the sum of its proper divisors (338307417720).

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

137908748160 is a wasteful number, since it uses less digits than its factorization.

137908748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942516 (or 23942501 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 137908748160 in words is "one hundred thirty-seven billion, nine hundred eight million, seven hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 23942491 47884982 71827473 95769964 119712455 143654946 191539928 215482419 239424910 287309892 359137365 383079856 430964838 478849820 574619784 718274730 766159712 861929676 957699640 1077412095 1149239568 1436549460 1532319424 1723859352 1915399280 2154824190 2298479136 2873098920 3064638848 3447718704 3830798560 4309648380 4596958272 5746197840 6895437408 7661597120 8619296760 9193916544 11492395680 13790874816 15323194240 17238593520 22984791360 27581749632 34477187040 45969582720 68954374080 137908748160