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136997712504 = 23342276611409
BaseRepresentation
bin111111110010110110…
…0110011001001111000
3111002121121100212120000
41333211230303021320
54221032403300004
6142534052233000
712616634225352
oct1774554631170
9432547325500
10136997712504
1153111701104
122267430b760
13cbc3889513
1468b89cc0d2
15386c379c39
hex1fe5b33278

136997712504 has 160 divisors (see below), whose sum is σ = 386267864400. Its totient is φ = 45363732480.

The previous prime is 136997712491. The next prime is 136997712529. The reversal of 136997712504 is 405217799631.

136997712504 is a `hidden beast` number, since 1 + 3 + 69 + 9 + 7 + 71 + 2 + 504 = 666.

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 39 ways as a sum of consecutive naturals, for example, 97229752 + ... + 97231160.

Almost surely, 2136997712504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136997712504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193133932200).

136997712504 is an abundant number, since it is smaller than the sum of its proper divisors (249270151896).

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

136997712504 is a wasteful number, since it uses less digits than its factorization.

136997712504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 136997712504 in words is "one hundred thirty-six billion, nine hundred ninety-seven million, seven hundred twelve thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 324 454 648 661 681 908 1322 1362 1409 1816 1983 2043 2644 2724 2818 3966 4086 4227 5288 5448 5636 5949 6129 7932 8172 8454 11272 11898 12258 12681 15864 16344 16908 17847 18387 23796 24516 25362 33816 35694 36774 38043 47592 49032 50724 53541 71388 73548 76086 101448 107082 114129 142776 147096 150047 152172 214164 228258 300094 304344 319843 428328 450141 456516 600188 639686 900282 913032 931349 959529 1200376 1279372 1350423 1800564 1862698 1919058 2558744 2700846 2794047 2878587 3601128 3725396 3838116 4051269 5401692 5588094 5757174 7450792 7676232 8102538 8382141 8635761 10803384 11176188 11514348 12153807 16205076 16764282 17271522 22352376 23028696 24307614 25146423 25907283 32410152 33528564 34543044 48615228 50292846 51814566 67057128 69086088 75439269 97230456 100585692 103629132 150878538 201171384 207258264 211416223 301757076 422832446 603514152 634248669 845664892 1268497338 1691329784 1902746007 2536994676 3805492014 5073989352 5708238021 7610984028 11416476042 15221968056 17124714063 22832952084 34249428126 45665904168 68498856252 136997712504