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136380390720 = 2635726414523
BaseRepresentation
bin111111100000011100…
…1111001110101000000
3111001000120202200021020
41333000321321311000
54213301340000340
6142352521025440
712565430123400
oct1770071716500
9431016680236
10136380390720
11529251a2112
1222521625280
13cb25a07562
14685aa16800
1538330899d0
hex1fc0e79d40

136380390720 has 336 divisors, whose sum is σ = 504600228288. Its totient is φ = 31117148160.

The previous prime is 136380390701. The next prime is 136380390739. The reversal of 136380390720 is 27093083631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136380390701) and next prime (136380390739).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1363803907202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 30150379 + ... + 30154901.

Almost surely, 2136380390720 is an apocalyptic number.

136380390720 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 136380390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252300114144).

136380390720 is an abundant number, since it is smaller than the sum of its proper divisors (368219837568).

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

136380390720 is a wasteful number, since it uses less digits than its factorization.

136380390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 136380390720 in words is "one hundred thirty-six billion, three hundred eighty million, three hundred ninety thousand, seven hundred twenty".