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134136143680 = 26572112632957
BaseRepresentation
bin111110011101100100…
…0110001111101000000
3110211020011211010002111
41330323020301331000
54144202323044210
6141342111025104
712456006260200
oct1747310617500
9424204733074
10134136143680
11519833a10a0
1221bb5b0b194
13c858a83226
1466c693c400
15375102c88a
hex1f3b231f40

134136143680 has 336 divisors, whose sum is σ = 407017581696. Its totient is φ = 41635614720.

The previous prime is 134136143639. The next prime is 134136143717. The reversal of 134136143680 is 86341631431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45360762 + ... + 45363718.

Almost surely, 2134136143680 is an apocalyptic number.

134136143680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134136143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203508790848).

134136143680 is an abundant number, since it is smaller than the sum of its proper divisors (272881438016).

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

134136143680 is a wasteful number, since it uses less digits than its factorization.

134136143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 134136143680 in words is "one hundred thirty-four billion, one hundred thirty-six million, one hundred forty-three thousand, six hundred eighty".