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135842501009232 = 24321569796009407
BaseRepresentation
bin11110111000110001001100…
…000001001001111101010000
3122210222102020110102010100200
4132320301030001021331100
5120301120420224243412
61200525103343015200
740420203544660563
oct3670611401117520
9583872213363320
10135842501009232
113a31353245a7a6
121329b22a89a500
135aa4b7b86bc94
142578b526ac4da
1510a889641d9dc
hex7b8c4c049f50

135842501009232 has 60 divisors (see below), whose sum is σ = 380172817739520. Its totient is φ = 45280537683264.

The previous prime is 135842501009231. The next prime is 135842501009239. The reversal of 135842501009232 is 232900105248531.

135842501009232 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 425 + 0 + 100 + 92 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135842501009231) 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, 19600273 + ... + 25609679.

It is an arithmetic number, because the mean of its divisors is an integer number (6336213628992).

Almost surely, 2135842501009232 is an apocalyptic number.

135842501009232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135842501009232 is an abundant number, since it is smaller than the sum of its proper divisors (244330316730288).

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

135842501009232 is a wasteful number, since it uses less digits than its factorization.

135842501009232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166400 (or 6166391 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 135842501009232 in words is "one hundred thirty-five trillion, eight hundred forty-two billion, five hundred one million, nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 156979 313958 470937 627916 941874 1255832 1412811 1883748 2511664 2825622 3767496 5651244 6009407 7534992 11302488 12018814 18028221 22604976 24037628 36056442 48075256 54084663 72112884 96150512 108169326 144225768 216338652 288451536 432677304 865354608 943350701453 1886701402906 2830052104359 3773402805812 5660104208718 7546805611624 8490156313077 11320208417436 15093611223248 16980312626154 22640416834872 33960625252308 45280833669744 67921250504616 135842501009232