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142054102134 = 2337537090651
BaseRepresentation
bin1000010001001100010…
…1011001010001110110
3111120122222212002011000
42010103011121101312
54311411322232014
6145131520224130
713156142642160
oct2042305312166
9446588762130
10142054102134
115527692350a
122364576b046
131051b2cc949
146c3836b930
153a6621e509
hex2113159476

142054102134 has 64 divisors (see below), whose sum is σ = 367579399680. Its totient is φ = 39821090400.

The previous prime is 142054102111. The next prime is 142054102139. The reversal of 142054102134 is 431201450241.

142054102134 is a `hidden beast` number, since 1 + 420 + 5 + 4 + 102 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142054102098 and 142054102107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142054102139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525292 + ... + 3565359.

It is an arithmetic number, because the mean of its divisors is an integer number (5743428120).

Almost surely, 2142054102134 is an apocalyptic number.

142054102134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

142054102134 is an abundant number, since it is smaller than the sum of its proper divisors (225525297546).

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

142054102134 is a wasteful number, since it uses less digits than its factorization.

142054102134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090722 (or 7090716 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 142054102134 its reverse (431201450241), we get a palindrome (573255552375).

The spelling of 142054102134 in words is "one hundred forty-two billion, fifty-four million, one hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 6678 10017 20034 7090651 14181302 21271953 42543906 49634557 63815859 99269114 127631718 148903671 191447577 297807342 375804503 382895154 446711013 751609006 893422026 1127413509 1340133039 2254827018 2630631521 2680266078 3382240527 5261263042 6764481054 7891894563 10146721581 15783789126 20293443162 23675683689 47351367378 71027051067 142054102134