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136738285740 = 223257241378127
BaseRepresentation
bin111111101011000111…
…1001010100010101100
3111001221112012121221100
41333112033022202230
54220020000120430
6142452224003100
712610334152200
oct1772617124254
9431845177840
10136738285740
1152a99219a21
1222601460490
13cb81bc6164
14689237ab00
1538546d2960
hex1fd63ca8ac

136738285740 has 216 divisors, whose sum is σ = 494260183872. Its totient is φ = 30492080640.

The previous prime is 136738285721. The next prime is 136738285759. The reversal of 136738285740 is 47582837631.

It is a happy number.

136738285740 is a `hidden beast` number, since 1 + 3 + 67 + 3 + 8 + 2 + 8 + 574 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136738285721) and next prime (136738285759).

It is a super-2 number, since 2×1367382857402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172557 + ... + 550683.

It is an arithmetic number, because the mean of its divisors is an integer number (2288241592).

Almost surely, 2136738285740 is an apocalyptic number.

136738285740 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 136738285740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247130091936).

136738285740 is an abundant number, since it is smaller than the sum of its proper divisors (357521898132).

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

136738285740 is a wasteful number, since it uses less digits than its factorization.

136738285740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378197 (or 378185 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 136738285740 in words is "one hundred thirty-six billion, seven hundred thirty-eight million, two hundred eighty-five thousand, seven hundred forty".