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136119780 = 223257110651
BaseRepresentation
bin10000001110100…
…00010111100100
3100111010121020100
420013100113210
5234321313110
621301304100
73241666446
oct1007202744
9314117210
10136119780
116a921895
1239705030
132227c164
1414114496
15be3bbc0
hex81d05e4

136119780 has 72 divisors (see below), whose sum is σ = 418751424. Its totient is φ = 35784000.

The previous prime is 136119757. The next prime is 136119827. The reversal of 136119780 is 87911631.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7455 + ... + 18105.

It is an arithmetic number, because the mean of its divisors is an integer number (5815992).

Almost surely, 2136119780 is an apocalyptic number.

136119780 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 136119780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209375712).

136119780 is an abundant number, since it is smaller than the sum of its proper divisors (282631644).

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

136119780 is a wasteful number, since it uses less digits than its factorization.

136119780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 136119780 is about 11667.0381845608. The cubic root of 136119780 is about 514.4072483936.

The spelling of 136119780 in words is "one hundred thirty-six million, one hundred nineteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 10651 12780 21302 31953 42604 53255 63906 95859 106510 127812 159765 191718 213020 319530 383436 479295 639060 756221 958590 1512442 1917180 2268663 3024884 3781105 4537326 6805989 7562210 9074652 11343315 13611978 15124420 22686630 27223956 34029945 45373260 68059890 136119780