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134148754877680 = 2458232037496277
BaseRepresentation
bin11110100000000111110000…
…111000011010110011110000
3122120222111101101020201212001
4132200013300320122303300
5120040343122222041210
61153151030501143344
740153633126256614
oct3640076070326360
9576874341221761
10134148754877680
1139820192972134
1213066b166bab54
1359b123399a6aa
14251ab97775344
1510797b4b8303a
hex7a01f0e1acf0

134148754877680 has 40 divisors (see below), whose sum is σ = 312274829551392. Its totient is φ = 53594302043904.

The previous prime is 134148754877629. The next prime is 134148754877689. The reversal of 134148754877680 is 86778457841431.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134148754877689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018682299 + ... + 1018813978.

Almost surely, 2134148754877680 is an apocalyptic number.

134148754877680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134148754877680 is an abundant number, since it is smaller than the sum of its proper divisors (178126074673712).

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

134148754877680 is a wasteful number, since it uses less digits than its factorization.

134148754877680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037497113 (or 2037497107 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 73.

The spelling of 134148754877680 in words is "one hundred thirty-four trillion, one hundred forty-eight billion, seven hundred fifty-four million, eight hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 823 1646 3292 4115 6584 8230 13168 16460 32920 65840 2037496277 4074992554 8149985108 10187481385 16299970216 20374962770 32599940432 40749925540 81499851080 162999702160 1676859435971 3353718871942 6707437743884 8384297179855 13414875487768 16768594359710 26829750975536 33537188719420 67074377438840 134148754877680