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137854823076 = 22341921178609
BaseRepresentation
bin1000000001100011001…
…0011010101010100100
3111011211100011121020000
42000120302122222210
54224311313314301
6143155111141300
712650112443115
oct2003062325244
9434740147200
10137854823076
11535114a9a53
1222873374830
13cccc317139
14695a78220c
1538bc733786
hex2018c9aaa4

137854823076 has 90 divisors (see below), whose sum is σ = 380345697270. Its totient is φ = 43533065088.

The previous prime is 137854823069. The next prime is 137854823101. The reversal of 137854823076 is 670328458731.

It is a happy number.

137854823076 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 548 + 23 + 0 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106227757476 + 31627065600 = 325926^2 + 177840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 472341 + ... + 706268.

It is an arithmetic number, because the mean of its divisors is an integer number (4226063303).

Almost surely, 2137854823076 is an apocalyptic number.

It is an amenable number.

137854823076 is an abundant number, since it is smaller than the sum of its proper divisors (242490874194).

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

137854823076 is a wasteful number, since it uses less digits than its factorization.

137854823076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178663 (or 1178633 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 137854823076 in words is "one hundred thirty-seven billion, eight hundred fifty-four million, eight hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 3078 3249 4332 6156 6498 9747 12996 19494 29241 38988 58482 116964 1178609 2357218 3535827 4714436 7071654 10607481 14143308 21214962 22393571 31822443 42429924 44787142 63644886 67180713 89574284 95467329 127289772 134361426 190934658 201542139 268722852 381869316 403084278 425477849 604626417 806168556 850955698 1209252834 1276433547 1701911396 1813879251 2418505668 2552867094 3627758502 3829300641 5105734188 7255517004 7658601282 11487901923 15317202564 22975803846 34463705769 45951607692 68927411538 137854823076