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134100771840 = 21032571921881
BaseRepresentation
bin111110011100100000…
…1110110010000000000
3110211010201021001001100
41330321001312100000
54144114244144330
6141334404534400
712455066516250
oct1747101662000
9424121231040
10134100771840
1151965431772
1221ba60b1400
13c85164a149
1466c1d71960
15374cd92060
hex1f39076400

134100771840 has 528 divisors, whose sum is σ = 559009825920. Its totient is φ = 29037035520.

The previous prime is 134100771839. The next prime is 134100771841. The reversal of 134100771840 is 48177001431.

It is an interprime number because it is at equal distance from previous prime (134100771839) and next prime (134100771841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134100771795 and 134100771804.

It is not an unprimeable number, because it can be changed into a prime (134100771841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6117700 + ... + 6139580.

Almost surely, 2134100771840 is an apocalyptic number.

134100771840 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 134100771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279504912960).

134100771840 is an abundant number, since it is smaller than the sum of its proper divisors (424909054080).

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

134100771840 is a wasteful number, since it uses less digits than its factorization.

134100771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938 (or 21917 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 134100771840 in words is "one hundred thirty-four billion, one hundred million, seven hundred seventy-one thousand, eight hundred forty".